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110531664 = 24321971569
BaseRepresentation
bin1101001011010…
…01010001010000
321200222120221100
412211221101100
5211244003124
614545024400
72511334515
oct645512120
9250876840
10110531664
1157435091
1231025100
1319b90369
141097330c
159a851c9
hex6969450

110531664 has 120 divisors (see below), whose sum is σ = 330782400. Its totient is φ = 34352640.

The previous prime is 110531657. The next prime is 110531699. The reversal of 110531664 is 466135011.

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 23 ways as a sum of consecutive naturals, for example, 193972 + ... + 194540.

It is an arithmetic number, because the mean of its divisors is an integer number (2756520).

Almost surely, 2110531664 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 110531664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165391200).

110531664 is an abundant number, since it is smaller than the sum of its proper divisors (220250736).

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

110531664 is a wasteful number, since it uses less digits than its factorization.

110531664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 110531664 is about 10513.4040158267. The cubic root of 110531664 is about 479.9126924539.

Adding to 110531664 its reverse (466135011), we get a palindrome (576666675).

The spelling of 110531664 in words is "one hundred ten million, five hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 71 72 76 114 142 144 152 171 213 228 284 304 342 426 456 568 569 639 684 852 912 1136 1138 1278 1349 1368 1704 1707 2276 2556 2698 2736 3408 3414 4047 4552 5112 5121 5396 6828 8094 9104 10224 10242 10792 10811 12141 13656 16188 20484 21584 21622 24282 27312 32376 32433 40399 40968 43244 48564 64752 64866 80798 81936 86488 97128 97299 121197 129732 161596 172976 194256 194598 242394 259464 323192 363591 389196 484788 518928 646384 727182 767581 778392 969576 1454364 1535162 1556784 1939152 2302743 2908728 3070324 4605486 5817456 6140648 6908229 9210972 12281296 13816458 18421944 27632916 36843888 55265832 110531664