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10397824 = 2781233
BaseRepresentation
bin100111101010…
…100010000000
3201120021010121
4213222202000
510130212244
61010510024
7154244233
oct47524200
921507117
1010397824
115962048
123595314
132200978
14154941a
15da5c84
hex9ea880

10397824 has 16 divisors (see below), whose sum is σ = 20714670. Its totient is φ = 5198848.

The previous prime is 10397813. The next prime is 10397833. The reversal of 10397824 is 42879301.

It can be written as a sum of positive squares in only one way, i.e., 8526400 + 1871424 = 2920^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×103978242 = 216229487869952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10397824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40489 + ... + 40744.

Almost surely, 210397824 is an apocalyptic number.

It is an amenable number.

10397824 is a deficient number, since it is larger than the sum of its proper divisors (10316846).

10397824 is an frugal number, since it uses more digits than its factorization.

10397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81247 (or 81235 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 10397824 is about 3224.5657071922. The cubic root of 10397824 is about 218.2633520189.

The spelling of 10397824 in words is "ten million, three hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 81233 162466 324932 649864 1299728 2599456 5198912 10397824