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10292016 = 243730631
BaseRepresentation
bin100111010000…
…101100110000
3201100212222210
4213100230300
510113321031
61004332120
7153323610
oct47205460
921325883
1010292016
11589a5a9
123544040
132194767
14151ca40
15d84746
hex9d0b30

10292016 has 40 divisors (see below), whose sum is σ = 30386944. Its totient is φ = 2940480.

The previous prime is 10292003. The next prime is 10292033. The reversal of 10292016 is 61029201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10291983 and 10292001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14980 + ... + 15651.

Almost surely, 210292016 is an apocalyptic number.

10292016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10292016 is an abundant number, since it is smaller than the sum of its proper divisors (20094928).

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

10292016 is a wasteful number, since it uses less digits than its factorization.

10292016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30649 (or 30643 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10292016 is about 3208.1172048415. The cubic root of 10292016 is about 217.5204789807.

The spelling of 10292016 in words is "ten million, two hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 30631 61262 91893 122524 183786 214417 245048 367572 428834 490096 643251 735144 857668 1286502 1470288 1715336 2573004 3430672 5146008 10292016