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6104001240 = 2334512371523
BaseRepresentation
bin1011010111101001…
…11010101011011000
3120202101202101120000
411223310322223120
5100000111014430
62445405533000
7304156103661
oct55364725330
916671671500
106104001240
112652605527
121224274160
137637b086c
1441c962368
1525ad2ce60
hex16bd3aad8

6104001240 has 160 divisors (see below), whose sum is σ = 20546293680. Its totient is φ = 1625349888.

The previous prime is 6104001223. The next prime is 6104001301. The reversal of 6104001240 is 421004016.

6104001240 is a `hidden beast` number, since 610 + 4 + 0 + 0 + 12 + 40 = 666.

It is a super-2 number, since 2×61040012402 = 74517662275843075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4007119 + ... + 4008641.

Almost surely, 26104001240 is an apocalyptic number.

6104001240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6104001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273146840).

6104001240 is an abundant number, since it is smaller than the sum of its proper divisors (14442292440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6104001240 is a wasteful number, since it uses less digits than its factorization.

6104001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6104001240 is about 78128.1078741832. The cubic root of 6104001240 is about 1827.5595526177.

Adding to 6104001240 its reverse (421004016), we get a palindrome (6525005256).

The spelling of 6104001240 in words is "six billion, one hundred four million, one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1237 1523 1620 2474 3046 3240 3711 4569 4948 6092 6185 7422 7615 9138 9896 11133 12184 12370 13707 14844 15230 18276 18555 22266 22845 24740 27414 29688 30460 33399 36552 37110 41121 44532 45690 49480 54828 55665 60920 66798 68535 74220 82242 89064 91380 100197 109656 111330 123363 133596 137070 148440 164484 166995 182760 200394 205605 222660 246726 267192 274140 328968 333990 400788 411210 445320 493452 500985 548280 616815 667980 801576 822420 986904 1001970 1233630 1335960 1644840 1883951 2003940 2467260 3767902 4007880 4934520 5651853 7535804 9419755 11303706 15071608 16955559 18839510 22607412 28259265 33911118 37679020 45214824 50866677 56518530 67822236 75358040 84777795 101733354 113037060 135644472 152600031 169555590 203466708 226074120 254333385 305200062 339111180 406933416 508666770 610400124 678222360 763000155 1017333540 1220800248 1526000310 2034667080 3052000620 6104001240