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10913616 = 24357401
BaseRepresentation
bin101001101000…
…011101010000
3202112110200000
4221220131100
510243213431
61025530000
7161523060
oct51503520
922473600
1010913616
11618461a
1237a3900
13235167c
1416413a0
15e589e6
hexa68750

10913616 has 120 divisors (see below), whose sum is σ = 36289344. Its totient is φ = 3110400.

The previous prime is 10913611. The next prime is 10913633. The reversal of 10913616 is 61631901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10913616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10913611) 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, 27016 + ... + 27416.

Almost surely, 210913616 is an apocalyptic number.

10913616 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 10913616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144672).

10913616 is an abundant number, since it is smaller than the sum of its proper divisors (25375728).

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

10913616 is an equidigital number, since it uses as much as digits as its factorization.

10913616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10913616 is about 3303.5762440119. The cubic root of 10913616 is about 221.8143078326.

The spelling of 10913616 in words is "ten million, nine hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 401 432 486 504 567 648 756 802 972 1008 1134 1203 1296 1512 1604 1701 1944 2268 2406 2807 3024 3208 3402 3609 3888 4536 4812 5614 6416 6804 7218 8421 9072 9624 10827 11228 13608 14436 16842 19248 21654 22456 25263 27216 28872 32481 33684 43308 44912 50526 57744 64962 67368 75789 86616 97443 101052 129924 134736 151578 173232 194886 202104 227367 259848 303156 389772 404208 454734 519696 606312 682101 779544 909468 1212624 1364202 1559088 1818936 2728404 3637872 5456808 10913616