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109717152 = 2537116097
BaseRepresentation
bin1101000101000…
…10011010100000
321122110012122020
412202202122200
5211041422102
614515341440
72501403036
oct642423240
9248405566
10109717152
1156a29136
12308b1880
13199666bc
1410800556
159973bbc
hex68a26a0

109717152 has 48 divisors (see below), whose sum is σ = 292082112. Its totient is φ = 36055040.

The previous prime is 109717151. The next prime is 109717159. The reversal of 109717152 is 251717901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1097171522 = 24075706885982208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109717151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1233 + ... + 14864.

It is an arithmetic number, because the mean of its divisors is an integer number (6085044).

Almost surely, 2109717152 is an apocalyptic number.

109717152 is a gapful number since it is divisible by the number (12) 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 109717152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146041056).

109717152 is an abundant number, since it is smaller than the sum of its proper divisors (182364960).

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

109717152 is a wasteful number, since it uses less digits than its factorization.

109717152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16181 (or 16173 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 33.

The square root of 109717152 is about 10474.5955530512. The cubic root of 109717152 is about 478.7309533470.

The spelling of 109717152 in words is "one hundred nine million, seven hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 16097 32194 48291 64388 96582 128776 193164 257552 386328 515104 772656 1142887 1545312 2285774 3428661 4571548 6857322 9143096 13714644 18286192 27429288 36572384 54858576 109717152