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10379472 = 243192599
BaseRepresentation
bin100111100110…
…000011010000
3201112022221220
4213212003100
510124120342
61010245040
7154136565
oct47460320
921468856
1010379472
11594a284
123586780
1321c54cc
14154286c
15da05ec
hex9e60d0

10379472 has 60 divisors (see below), whose sum is σ = 28346400. Its totient is φ = 3272256.

The previous prime is 10379461. The next prime is 10379483. The reversal of 10379472 is 27497301.

It is an interprime number because it is at equal distance from previous prime (10379461) and next prime (10379483).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17029 + ... + 17627.

It is an arithmetic number, because the mean of its divisors is an integer number (472440).

Almost surely, 210379472 is an apocalyptic number.

10379472 is a gapful number since it is divisible by the number (12) 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 10379472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173200).

10379472 is an abundant number, since it is smaller than the sum of its proper divisors (17966928).

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

10379472 is a wasteful number, since it uses less digits than its factorization.

10379472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 10379472 is about 3221.7187959224. The cubic root of 10379472 is about 218.1348659068.

The spelling of 10379472 in words is "ten million, three hundred seventy-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 599 722 912 1083 1198 1444 1797 2166 2396 2888 3594 4332 4792 5776 7188 8664 9584 11381 14376 17328 22762 28752 34143 45524 68286 91048 136572 182096 216239 273144 432478 546288 648717 864956 1297434 1729912 2594868 3459824 5189736 10379472