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107055504 = 24323771283
BaseRepresentation
bin1100110000110…
…00100110010000
321110102222112200
412120120212100
5204401234004
614342323200
72436646113
oct630304620
9243388480
10107055504
1155480426
122ba29500
131924406a
141030a57a
1595ea239
hex6618990

107055504 has 120 divisors (see below), whose sum is σ = 313140672. Its totient is φ = 34110720.

The previous prime is 107055503. The next prime is 107055521. The reversal of 107055504 is 405550701.

107055504 is a `hidden beast` number, since 107 + 0 + 5 + 550 + 4 = 666.

It is a super-2 number, since 2×1070555042 = 22921761873388032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107055503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378147 + ... + 378429.

Almost surely, 2107055504 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 107055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156570336).

107055504 is an abundant number, since it is smaller than the sum of its proper divisors (206085168).

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

107055504 is a wasteful number, since it uses less digits than its factorization.

107055504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 107055504 is about 10346.7629720604. The cubic root of 107055504 is about 474.8280138204.

The spelling of 107055504 in words is "one hundred seven million, fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 71 72 74 111 142 144 148 213 222 283 284 296 333 426 444 566 568 592 639 666 849 852 888 1132 1136 1278 1332 1698 1704 1776 2264 2547 2556 2627 2664 3396 3408 4528 5094 5112 5254 5328 6792 7881 10188 10224 10471 10508 13584 15762 20093 20376 20942 21016 23643 31413 31524 40186 40752 41884 42032 47286 60279 62826 63048 80372 83768 94239 94572 120558 125652 126096 160744 167536 180837 188478 189144 241116 251304 321488 361674 376956 378288 482232 502608 723348 743441 753912 964464 1446696 1486882 1507824 2230323 2893392 2973764 4460646 5947528 6690969 8921292 11895056 13381938 17842584 26763876 35685168 53527752 107055504