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10046916 = 2234112819
BaseRepresentation
bin100110010100…
…110111000100
3200220102210000
4212110313010
510033000131
6555201300
7151253205
oct46246704
920812700
1010046916
115742440
123446230
13210a029
1414975ac
15d36ce6
hex994dc4

10046916 has 60 divisors (see below), whose sum is σ = 28662480. Its totient is φ = 3043440.

The previous prime is 10046903. The next prime is 10046923. The reversal of 10046916 is 61964001.

It is a super-2 number, since 2×100469162 = 201881042222112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10046916.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2155 + ... + 4973.

It is an arithmetic number, because the mean of its divisors is an integer number (477708).

Almost surely, 210046916 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 10046916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331240).

10046916 is an abundant number, since it is smaller than the sum of its proper divisors (18615564).

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

10046916 is a wasteful number, since it uses less digits than its factorization.

10046916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10046916 is about 3169.6870507985. The cubic root of 10046916 is about 215.7798683264.

The spelling of 10046916 in words is "ten million, forty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 2819 3564 5638 8457 11276 16914 25371 31009 33828 50742 62018 76113 93027 101484 124036 152226 186054 228339 279081 304452 372108 456678 558162 837243 913356 1116324 1674486 2511729 3348972 5023458 10046916