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10316960 = 255173793
BaseRepresentation
bin100111010110…
…110010100000
3201102011012122
4213112302200
510120120320
61005043412
7153456413
oct47266240
921364178
1010316960
115907315
123556568
1321a2c14
141527b7a
15d8bd25
hex9d6ca0

10316960 has 48 divisors (see below), whose sum is σ = 25814376. Its totient is φ = 3883008.

The previous prime is 10316899. The next prime is 10316987. The reversal of 10316960 is 6961301.

It can be written as a sum of positive squares in 4 ways, for example, as 8042896 + 2274064 = 2836^2 + 1508^2 .

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 7 ways as a sum of consecutive naturals, for example, 824 + ... + 4616.

Almost surely, 210316960 is an apocalyptic number.

10316960 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 10316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907188).

10316960 is an abundant number, since it is smaller than the sum of its proper divisors (15497416).

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

10316960 is a wasteful number, since it uses less digits than its factorization.

10316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 10316960 is about 3212.0024906591. The cubic root of 10316960 is about 217.6960666506.

The spelling of 10316960 in words is "ten million, three hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 3793 7586 15172 18965 30344 37930 60688 64481 75860 121376 128962 151720 257924 303440 322405 515848 606880 644810 1031696 1289620 2063392 2579240 5158480 10316960