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10248216 = 2331123529
BaseRepresentation
bin100111000110…
…000000011000
3201021122220120
4213012000120
510110420331
61003353240
7153052116
oct47060030
921248816
1010248216
11586a700
123522820
13217a844
14150aab6
15d76796
hex9c6018

10248216 has 48 divisors (see below), whose sum is σ = 28169400. Its totient is φ = 3104640.

The previous prime is 10248181. The next prime is 10248257. The reversal of 10248216 is 61284201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140 + ... + 4668.

Almost surely, 210248216 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 10248216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084700).

10248216 is an abundant number, since it is smaller than the sum of its proper divisors (17921184).

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

10248216 is a wasteful number, since it uses less digits than its factorization.

10248216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10248216 is about 3201.2834926011. The cubic root of 10248216 is about 217.2114710288.

The spelling of 10248216 in words is "ten million, two hundred forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 3529 7058 10587 14116 21174 28232 38819 42348 77638 84696 116457 155276 232914 310552 427009 465828 854018 931656 1281027 1708036 2562054 3416072 5124108 10248216