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10709904 = 2432389109
BaseRepresentation
bin101000110110…
…101110010000
3202011010020010
4220312232100
510220204104
61021314520
7160014132
oct50665620
922133203
1010709904
116055567
123705a40
1322aca2a
1415cb052
15e18489
hexa36b90

10709904 has 80 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 3345408.

The previous prime is 10709899. The next prime is 10709917. The reversal of 10709904 is 40990701.

It is a super-2 number, since 2×107099042 = 229404087378432, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 98202 + ... + 98310.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 210709904 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 10709904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

10709904 is an abundant number, since it is smaller than the sum of its proper divisors (18752496).

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

10709904 is a wasteful number, since it uses less digits than its factorization.

10709904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 10709904 is about 3272.5989671819. The cubic root of 10709904 is about 220.4255125533.

The spelling of 10709904 in words is "ten million, seven hundred nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 109 138 178 184 218 267 276 327 356 368 436 534 552 654 712 872 1068 1104 1308 1424 1744 2047 2136 2507 2616 4094 4272 5014 5232 6141 7521 8188 9701 10028 12282 15042 16376 19402 20056 24564 29103 30084 32752 38804 40112 49128 58206 60168 77608 98256 116412 120336 155216 223123 232824 446246 465648 669369 892492 1338738 1784984 2677476 3569968 5354952 10709904