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10397904 = 2431147419
BaseRepresentation
bin100111101010…
…100011010000
3201120021020120
4213222203100
510130213104
61010510240
7154244406
oct47524320
921507216
1010397904
115962110
123595380
132200a0a
141549476
15da5cd9
hex9ea8d0

10397904 has 80 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 3076480.

The previous prime is 10397903. The next prime is 10397929. The reversal of 10397904 is 40979301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10397903) by changing a digit.

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, 24607 + ... + 25025.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 210397904 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 10397904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

10397904 is an abundant number, since it is smaller than the sum of its proper divisors (19600176).

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

10397904 is a wasteful number, since it uses less digits than its factorization.

10397904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 10397904 is about 3224.5781119396. The cubic root of 10397904 is about 218.2639117842.

The spelling of 10397904 in words is "ten million, three hundred ninety-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 419 517 528 564 752 838 1034 1128 1257 1551 1676 2068 2256 2514 3102 3352 4136 4609 5028 6204 6704 8272 9218 10056 12408 13827 18436 19693 20112 24816 27654 36872 39386 55308 59079 73744 78772 110616 118158 157544 216623 221232 236316 315088 433246 472632 649869 866492 945264 1299738 1732984 2599476 3465968 5198952 10397904