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10485804 = 22372171049
BaseRepresentation
bin101000000000…
…000000101100
3201201201211010
4220000000230
510141021204
61012425220
7155061600
oct50000054
921651733
1010485804
115a1215a
123618210
132231a24
14156d500
15dc1d89
hexa0002c

10485804 has 72 divisors (see below), whose sum is σ = 30164400. Its totient is φ = 2817024.

The previous prime is 10485779. The next prime is 10485817. The reversal of 10485804 is 40858401.

It is a super-4 number, since 4×104858044 (a number of 29 digits) contains 4444 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9472 + ... + 10520.

It is an arithmetic number, because the mean of its divisors is an integer number (418950).

Almost surely, 210485804 is an apocalyptic number.

10485804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10485804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082200).

10485804 is an abundant number, since it is smaller than the sum of its proper divisors (19678596).

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

10485804 is a wasteful number, since it uses less digits than its factorization.

10485804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 10485804 is about 3238.1791179612. The cubic root of 10485804 is about 218.8772273222.

The spelling of 10485804 in words is "ten million, four hundred eighty-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1049 1428 1666 2098 2499 3147 3332 4196 4998 6294 7343 9996 12588 14686 17833 22029 29372 35666 44058 51401 53499 71332 88116 102802 106998 124831 154203 205604 213996 249662 308406 374493 499324 616812 748986 873817 1497972 1747634 2621451 3495268 5242902 10485804