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109780704 = 25331111551
BaseRepresentation
bin1101000101100…
…01111011100000
321122120102211000
412202301323200
5211100440304
614520552000
72502056235
oct642617340
9248512730
10109780704
1156a71960
1230922600
13199895c7
141081978c
159987939
hex68b1ee0

109780704 has 96 divisors (see below), whose sum is σ = 349332480. Its totient is φ = 33264000.

The previous prime is 109780669. The next prime is 109780709. The reversal of 109780704 is 407087901.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109780709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3729 + ... + 15279.

It is an arithmetic number, because the mean of its divisors is an integer number (3638880).

Almost surely, 2109780704 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 109780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

109780704 is an abundant number, since it is smaller than the sum of its proper divisors (239551776).

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

109780704 is a wasteful number, since it uses less digits than its factorization.

109780704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11581 (or 11567 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 109780704 is about 10477.6287393666. The cubic root of 109780704 is about 478.8233680594.

The spelling of 109780704 in words is "one hundred nine million, seven hundred eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 11551 23102 34653 46204 69306 92408 103959 127061 138612 184816 207918 254122 277224 311877 369632 381183 415836 508244 554448 623754 762366 831672 1016488 1108896 1143549 1247508 1524732 1663344 2032976 2287098 2495016 3049464 3326688 3430647 4065952 4574196 4990032 6098928 6861294 9148392 9980064 12197856 13722588 18296784 27445176 36593568 54890352 109780704