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6090240 = 29351361
BaseRepresentation
bin10111001110111000000000
3102110102020110
4113032320000
53024341430
6334311320
7102523542
oct27167000
912412213
106090240
11348a762
122058540
1313530c0
14b47692
158047b0
hex5cee00

6090240 has 160 divisors (see below), whose sum is σ = 21311136. Its totient is φ = 1474560.

The previous prime is 6090223. The next prime is 6090251. The reversal of 6090240 is 420906.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99810 + ... + 99870.

Almost surely, 26090240 is an apocalyptic number.

6090240 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 6090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655568).

6090240 is an abundant number, since it is smaller than the sum of its proper divisors (15220896).

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

6090240 is a wasteful number, since it uses less digits than its factorization.

6090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6090240 is about 2467.8411618255. The cubic root of 6090240 is about 182.6185131269.

The spelling of 6090240 in words is "six million, ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 61 64 65 78 80 96 104 120 122 128 130 156 160 183 192 195 208 240 244 256 260 305 312 320 366 384 390 416 480 488 512 520 610 624 640 732 768 780 793 832 915 960 976 1040 1220 1248 1280 1464 1536 1560 1586 1664 1830 1920 1952 2080 2379 2440 2496 2560 2928 3120 3172 3328 3660 3840 3904 3965 4160 4758 4880 4992 5856 6240 6344 6656 7320 7680 7808 7930 8320 9516 9760 9984 11712 11895 12480 12688 14640 15616 15860 16640 19032 19520 19968 23424 23790 24960 25376 29280 31232 31720 33280 38064 39040 46848 47580 49920 50752 58560 63440 76128 78080 93696 95160 99840 101504 117120 126880 152256 156160 190320 203008 234240 253760 304512 380640 406016 468480 507520 609024 761280 1015040 1218048 1522560 2030080 3045120 6090240