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6120972 = 223211132941
BaseRepresentation
bin10111010110011000001100
3102111222101200
4113112120030
53031332342
6335105500
7103012254
oct27263014
912458350
106120972
113500860
122072290
1313640a0
14b54964
1580d94c
hex5d660c

6120972 has 144 divisors (see below), whose sum is σ = 19262880. Its totient is φ = 1612800.

The previous prime is 6120971. The next prime is 6120997. The reversal of 6120972 is 2790216.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6120971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149272 + ... + 149312.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

Almost surely, 26120972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6120972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631440).

6120972 is an abundant number, since it is smaller than the sum of its proper divisors (13141908).

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

6120972 is a wasteful number, since it uses less digits than its factorization.

6120972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6120972 is about 2474.0598214271. The cubic root of 6120972 is about 182.9251687238.

The spelling of 6120972 in words is "six million, one hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 29 33 36 39 41 44 52 58 66 78 82 87 99 116 117 123 132 143 156 164 174 198 234 246 261 286 319 348 369 377 396 429 451 468 492 522 533 572 638 738 754 858 902 957 1044 1066 1131 1189 1276 1287 1353 1476 1508 1599 1716 1804 1914 2132 2262 2378 2574 2706 2871 3198 3393 3567 3828 4059 4147 4524 4756 4797 5148 5412 5742 5863 6396 6786 7134 8118 8294 9594 10701 11484 11726 12441 13079 13572 14268 15457 16236 16588 17589 19188 21402 23452 24882 26158 30914 35178 37323 39237 42804 46371 49764 52316 52767 61828 70356 74646 78474 92742 105534 117711 139113 149292 156948 170027 185484 211068 235422 278226 340054 470844 510081 556452 680108 1020162 1530243 2040324 3060486 6120972