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107211456 = 26321116921
BaseRepresentation
bin1100110001111…
…10101011000000
321110201220110200
412120332223000
5204421231311
614345525200
72441165562
oct630765300
9243656420
10107211456
1155577610
122baa3800
131929a041
141034b332
15962b556
hex663eac0

107211456 has 84 divisors (see below), whose sum is σ = 335258664. Its totient is φ = 32486400.

The previous prime is 107211451. The next prime is 107211473. The reversal of 107211456 is 654112701.

It is a happy number.

It is a super-2 number, since 2×1072114562 = 22988592595279872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107211451) 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 11 ways as a sum of consecutive naturals, for example, 2125 + ... + 14796.

Almost surely, 2107211456 is an apocalyptic number.

107211456 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 107211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167629332).

107211456 is an abundant number, since it is smaller than the sum of its proper divisors (228047208).

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

107211456 is a wasteful number, since it uses less digits than its factorization.

107211456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16950 (or 16937 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 107211456 is about 10354.2964995213. The cubic root of 107211456 is about 475.0584688876.

The spelling of 107211456 in words is "one hundred seven million, two hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 16921 33842 50763 67684 101526 135368 152289 186131 203052 270736 304578 372262 406104 541472 558393 609156 744524 812208 1082944 1116786 1218312 1489048 1624416 1675179 2233572 2436624 2978096 3248832 3350358 4467144 4873248 5956192 6700716 8934288 9746496 11912384 13401432 17868576 26802864 35737152 53605728 107211456