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6118272 = 273247113
BaseRepresentation
bin10111010101101110000000
3102111211200200
4113111232000
53031241042
6335045200
7103001346
oct27255600
912454620
106118272
1134a9826
122070800
131362aa4
14b53996
1580cc4c
hex5d5b80

6118272 has 96 divisors (see below), whose sum is σ = 18139680. Its totient is φ = 1978368.

The previous prime is 6118261. The next prime is 6118289. The reversal of 6118272 is 2728116.

6118272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54088 + ... + 54200.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

Almost surely, 26118272 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 6118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069840).

6118272 is an abundant number, since it is smaller than the sum of its proper divisors (12021408).

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

6118272 is a wasteful number, since it uses less digits than its factorization.

6118272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 6118272 is about 2473.5140994140. The cubic root of 6118272 is about 182.8982682798.

The spelling of 6118272 in words is "six million, one hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 113 128 141 144 188 192 226 282 288 339 376 384 423 452 564 576 678 752 846 904 1017 1128 1152 1356 1504 1692 1808 2034 2256 2712 3008 3384 3616 4068 4512 5311 5424 6016 6768 7232 8136 9024 10622 10848 13536 14464 15933 16272 18048 21244 21696 27072 31866 32544 42488 43392 47799 54144 63732 65088 84976 95598 127464 130176 169952 191196 254928 339904 382392 509856 679808 764784 1019712 1529568 2039424 3059136 6118272