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10397408 = 257219349
BaseRepresentation
bin100111101010…
…011011100000
3201120020120012
4213222123200
510130204113
61010504052
7154243100
oct47523340
921506505
1010397408
1159617aa
123595028
132200718
141549200
15da5aa8
hex9ea6e0

10397408 has 72 divisors (see below), whose sum is σ = 25137000. Its totient is φ = 4209408.

The previous prime is 10397383. The next prime is 10397411. The reversal of 10397408 is 80479301.

10397408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 29618 + ... + 29966.

It is an arithmetic number, because the mean of its divisors is an integer number (349125).

Almost surely, 210397408 is an apocalyptic number.

10397408 is the 1862-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10397408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568500).

10397408 is an abundant number, since it is smaller than the sum of its proper divisors (14739592).

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

10397408 is a wasteful number, since it uses less digits than its factorization.

10397408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 10397408 is about 3224.5012017365. The cubic root of 10397408 is about 218.2604411930.

The spelling of 10397408 in words is "ten million, three hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 349 392 532 608 698 784 931 1064 1396 1568 1862 2128 2443 2792 3724 4256 4886 5584 6631 7448 9772 11168 13262 14896 17101 19544 26524 29792 34202 39088 46417 53048 68404 78176 92834 106096 136808 185668 212192 273616 324919 371336 547232 649838 742672 1299676 1485344 2599352 5198704 10397408