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110309056 = 26111317709
BaseRepresentation
bin1101001001100…
…10111011000000
321200120021120121
412210302323000
5211214342211
614540150024
72506416514
oct644627300
9250507517
10110309056
11572a2910
1230b38314
1319b12c40
1410916144
159a3e271
hex6932ec0

110309056 has 112 divisors (see below), whose sum is σ = 272674080. Its totient is φ = 43499520.

The previous prime is 110309053. The next prime is 110309057. The reversal of 110309056 is 650903011.

It is a super-2 number, since 2×1103090562 = 24336175671222272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110309056.

It is not an unprimeable number, because it can be changed into a prime (110309051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155230 + ... + 155938.

It is an arithmetic number, because the mean of its divisors is an integer number (2434590).

Almost surely, 2110309056 is an apocalyptic number.

110309056 is a gapful number since it is divisible by the number (16) 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 110309056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136337040).

110309056 is an abundant number, since it is smaller than the sum of its proper divisors (162365024).

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

110309056 is a wasteful number, since it uses less digits than its factorization.

110309056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 110309056 is about 10502.8118139858. The cubic root of 110309056 is about 479.5902985491.

The spelling of 110309056 in words is "one hundred ten million, three hundred nine thousand, fifty-six".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 136 143 176 187 208 221 272 286 352 374 416 442 544 572 704 709 748 832 884 1088 1144 1418 1496 1768 2288 2431 2836 2992 3536 4576 4862 5672 5984 7072 7799 9152 9217 9724 11344 11968 12053 14144 15598 18434 19448 22688 24106 31196 36868 38896 45376 48212 62392 73736 77792 96424 101387 124784 132583 147472 155584 156689 192848 202774 249568 265166 294944 313378 385696 405548 499136 530332 589888 626756 771392 811096 1060664 1253512 1622192 1723579 2121328 2507024 3244384 3447158 4242656 5014048 6488768 6894316 8485312 10028096 13788632 27577264 55154528 110309056