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10899616 = 2571319197
BaseRepresentation
bin101001100101…
…000010100000
3202111202110111
4221211002200
510242241431
61025341104
7161434210
oct51450240
922452414
1010899616
116175052
123797794
1323481a0
14163a240
15e547b1
hexa650a0

10899616 has 96 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 4064256.

The previous prime is 10899613. The next prime is 10899649. The reversal of 10899616 is 61699801.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10899613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55230 + ... + 55426.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 210899616 is an apocalyptic number.

10899616 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 10899616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

10899616 is an abundant number, since it is smaller than the sum of its proper divisors (17042144).

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

10899616 is a wasteful number, since it uses less digits than its factorization.

10899616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 10899616 is about 3301.4566482085. The cubic root of 10899616 is about 221.7194193579.

The spelling of 10899616 in words is "ten million, eight hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 197 208 224 247 266 304 364 394 416 494 532 608 728 788 988 1064 1379 1456 1576 1729 1976 2128 2561 2758 2912 3152 3458 3743 3952 4256 5122 5516 6304 6916 7486 7904 10244 11032 13832 14972 17927 20488 22064 26201 27664 29944 35854 40976 44128 48659 52402 55328 59888 71708 81952 97318 104804 119776 143416 194636 209608 286832 340613 389272 419216 573664 681226 778544 838432 1362452 1557088 2724904 5449808 10899616