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10099056 = 2431131617
BaseRepresentation
bin100110100001…
…100101110000
3201000002022010
4212201211300
510041132211
61000242520
7151561212
oct46414560
921002263
1010099056
115778630
123470440
132127996
1414ac5b2
15d474a6
hex9a1970

10099056 has 80 divisors (see below), whose sum is σ = 29426688. Its totient is φ = 2956800.

The previous prime is 10099049. The next prime is 10099057. The reversal of 10099056 is 65099001.

It is a super-2 number, since 2×100990562 = 203981864182272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099057) 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, 16060 + ... + 16676.

Almost surely, 210099056 is an apocalyptic number.

10099056 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 10099056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14713344).

10099056 is an abundant number, since it is smaller than the sum of its proper divisors (19327632).

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

10099056 is a wasteful number, since it uses less digits than its factorization.

10099056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 10099056 is about 3177.9011941846. The cubic root of 10099056 is about 216.1524986188.

Subtracting 10099056 from its reverse (65099001), we obtain a palindrome (54999945).

The spelling of 10099056 in words is "ten million, ninety-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 617 682 744 1023 1234 1364 1488 1851 2046 2468 2728 3702 4092 4936 5456 6787 7404 8184 9872 13574 14808 16368 19127 20361 27148 29616 38254 40722 54296 57381 76508 81444 108592 114762 153016 162888 210397 229524 306032 325776 420794 459048 631191 841588 918096 1262382 1683176 2524764 3366352 5049528 10099056