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60002040 = 23357611171
BaseRepresentation
bin1110010011100…
…0111011111000
311011220102022210
43210320323320
5110330031130
65542015120
71326003030
oct344707370
9134812283
1060002040
113096246a
12181174a0
13c57ab87
147d7c8c0
1554035b0
hex3938ef8

60002040 has 128 divisors (see below), whose sum is σ = 209272320. Its totient is φ = 13478400.

The previous prime is 60002023. The next prime is 60002113. The reversal of 60002040 is 4020006.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50655 + ... + 51825.

It is an arithmetic number, because the mean of its divisors is an integer number (1634940).

Almost surely, 260002040 is an apocalyptic number.

60002040 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 60002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104636160).

60002040 is an abundant number, since it is smaller than the sum of its proper divisors (149270280).

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

60002040 is a wasteful number, since it uses less digits than its factorization.

60002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 60002040 is about 7746.0983727293. The cubic root of 60002040 is about 391.4912009166.

Adding to 60002040 its reverse (4020006), we get a palindrome (64022046).

It can be divided in two parts, 600020 and 40, that added together give a triangular number (600060 = T1095).

The spelling of 60002040 in words is "sixty million, two thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 61 70 84 105 120 122 140 168 183 210 244 280 305 366 420 427 488 610 732 840 854 915 1171 1220 1281 1464 1708 1830 2135 2342 2440 2562 3416 3513 3660 4270 4684 5124 5855 6405 7026 7320 8197 8540 9368 10248 11710 12810 14052 16394 17080 17565 23420 24591 25620 28104 32788 35130 40985 46840 49182 51240 65576 70260 71431 81970 98364 122955 140520 142862 163940 196728 214293 245910 285724 327880 357155 428586 491820 500017 571448 714310 857172 983640 1000034 1071465 1428620 1500051 1714344 2000068 2142930 2500085 2857240 3000102 4000136 4285860 5000170 6000204 7500255 8571720 10000340 12000408 15000510 20000680 30001020 60002040