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10315464 = 23317131193
BaseRepresentation
bin100111010110…
…011011001000
3201102002011020
4213112123020
510120043324
61005032440
7153452145
oct47263310
921362136
1010315464
115906185
123555720
1321a2333
1415273cc
15d8b679
hex9d66c8

10315464 has 64 divisors (see below), whose sum is σ = 27656640. Its totient is φ = 3194880.

The previous prime is 10315463. The next prime is 10315469. The reversal of 10315464 is 46451301.

10315464 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 (24).

It is not an unprimeable number, because it can be changed into a prime (10315463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53352 + ... + 53544.

It is an arithmetic number, because the mean of its divisors is an integer number (432135).

Almost surely, 210315464 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 10315464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828320).

10315464 is an abundant number, since it is smaller than the sum of its proper divisors (17341176).

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

10315464 is a wasteful number, since it uses less digits than its factorization.

10315464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10315464 is about 3211.7696056847. The cubic root of 10315464 is about 217.6855438785.

Adding to 10315464 its reverse (46451301), we get a palindrome (56766765).

The spelling of 10315464 in words is "ten million, three hundred fifteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 131 136 193 204 262 386 393 408 524 579 772 786 1048 1158 1544 1572 2227 2316 3144 3281 4454 4632 6562 6681 8908 9843 13124 13362 17816 19686 25283 26248 26724 39372 50566 53448 75849 78744 101132 151698 202264 303396 429811 606792 859622 1289433 1719244 2578866 3438488 5157732 10315464