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10396872 = 2332197733
BaseRepresentation
bin100111101010…
…010011001000
3201120012211100
4213222103020
510130144442
61010501400
7154241403
oct47522310
921505740
1010396872
115961362
123594860
1322003c5
141548d3a
15da584c
hex9ea4c8

10396872 has 48 divisors (see below), whose sum is σ = 28339740. Its totient is φ = 3443328.

The previous prime is 10396871. The next prime is 10396907. The reversal of 10396872 is 27869301.

It can be written as a sum of positive squares in 2 ways, for example, as 6687396 + 3709476 = 2586^2 + 1926^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10396871) 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 11 ways as a sum of consecutive naturals, for example, 13818 + ... + 14550.

Almost surely, 210396872 is an apocalyptic number.

10396872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10396872 is an abundant number, since it is smaller than the sum of its proper divisors (17942868).

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

10396872 is a wasteful number, since it uses less digits than its factorization.

10396872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10396872 is about 3224.4180870352. The cubic root of 10396872 is about 218.2566905913.

It can be divided in two parts, 103968 and 72, that multiplied together give a square (7485696 = 27362).

The spelling of 10396872 in words is "ten million, three hundred ninety-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 733 788 1182 1466 1576 1773 2199 2364 2932 3546 4398 4728 5864 6597 7092 8796 13194 14184 17592 26388 52776 144401 288802 433203 577604 866406 1155208 1299609 1732812 2599218 3465624 5198436 10396872