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10497920 = 27547349
BaseRepresentation
bin101000000010…
…111110000000
3201202100102212
4220002332000
510141413140
61013001252
7155142116
oct50027600
921670385
1010497920
115a20274
123623228
1322373b4
141573ab6
15dc5765
hexa02f80

10497920 has 64 divisors (see below), whose sum is σ = 25704000. Its totient is φ = 4098048.

The previous prime is 10497919. The next prime is 10497931. The reversal of 10497920 is 2979401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×104979202 = 220412648652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 29906 + ... + 30254.

It is an arithmetic number, because the mean of its divisors is an integer number (401625).

Almost surely, 210497920 is an apocalyptic number.

10497920 is a gapful number since it is divisible by the number (10) 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 10497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852000).

10497920 is an abundant number, since it is smaller than the sum of its proper divisors (15206080).

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

10497920 is an equidigital number, since it uses as much as digits as its factorization.

10497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 10497920 is about 3240.0493823397. The cubic root of 10497920 is about 218.9614966747.

The spelling of 10497920 in words is "ten million, four hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 349 376 470 640 698 752 940 1396 1504 1745 1880 2792 3008 3490 3760 5584 6016 6980 7520 11168 13960 15040 16403 22336 27920 30080 32806 44672 55840 65612 82015 111680 131224 164030 223360 262448 328060 524896 656120 1049792 1312240 2099584 2624480 5248960 10497920