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10058016 = 253176163
BaseRepresentation
bin100110010111…
…100100100000
3200221000000010
4212113210200
510033324031
6555324520
7151330443
oct46274440
920830003
1010058016
11574a811
123450740
1321120b7
14149b65a
15d3a246
hex997920

10058016 has 48 divisors (see below), whose sum is σ = 27959904. Its totient is φ = 3154944.

The previous prime is 10058003. The next prime is 10058021. The reversal of 10058016 is 61085001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10057983 and 10058001.

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, 1450 + ... + 4713.

It is an arithmetic number, because the mean of its divisors is an integer number (582498).

Almost surely, 210058016 is an apocalyptic number.

10058016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10058016 is an abundant number, since it is smaller than the sum of its proper divisors (17901888).

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

10058016 is a wasteful number, since it uses less digits than its factorization.

10058016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 10058016 is about 3171.4375289449. The cubic root of 10058016 is about 215.8593048092.

The spelling of 10058016 in words is "ten million, fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 6163 12326 18489 24652 36978 49304 73956 98608 104771 147912 197216 209542 295824 314313 419084 591648 628626 838168 1257252 1676336 2514504 3352672 5029008 10058016