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10534914 = 2331343349
BaseRepresentation
bin101000001100…
…000000000010
3201211020012000
4220030000002
510144104124
61013444430
7155355015
oct50140002
921736160
1010534914
115a46045
123640716
13224b1a0
14158337c
15dd16c9
hexa0c002

10534914 has 64 divisors (see below), whose sum is σ = 25872000. Its totient is φ = 3157056.

The previous prime is 10534913. The next prime is 10534921. The reversal of 10534914 is 41943501.

It is a super-2 number, since 2×105349142 = 221968825974792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10534913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30012 + ... + 30360.

It is an arithmetic number, because the mean of its divisors is an integer number (404250).

Almost surely, 210534914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10534914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936000).

10534914 is an abundant number, since it is smaller than the sum of its proper divisors (15337086).

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

10534914 is a wasteful number, since it uses less digits than its factorization.

10534914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10534914 is about 3245.7532253700. The cubic root of 10534914 is about 219.2183972562.

The spelling of 10534914 in words is "ten million, five hundred thirty-four thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 117 129 234 258 349 351 387 559 698 702 774 1047 1118 1161 1677 2094 2322 3141 3354 4537 5031 6282 9074 9423 10062 13611 15007 15093 18846 27222 30014 30186 40833 45021 81666 90042 122499 135063 195091 244998 270126 390182 405189 585273 810378 1170546 1755819 3511638 5267457 10534914