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10383872 = 29171193
BaseRepresentation
bin100111100111…
…001000000000
3201112112222212
4213213020000
510124240442
61010321252
7154155452
oct47471000
921475885
1010383872
115952614
123589228
1321c7505
1415442d2
15da1a82
hex9e7200

10383872 has 40 divisors (see below), whose sum is σ = 21986316. Its totient is φ = 4882432.

The previous prime is 10383871. The next prime is 10383883. The reversal of 10383872 is 27838301.

It can be written as a sum of positive squares in 2 ways, for example, as 10137856 + 246016 = 3184^2 + 496^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10383871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8108 + ... + 9300.

Almost surely, 210383872 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 10383872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10993158).

10383872 is an abundant number, since it is smaller than the sum of its proper divisors (11602444).

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

10383872 is an equidigital number, since it uses as much as digits as its factorization.

10383872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 10383872 is about 3222.4015888775. The cubic root of 10383872 is about 218.1656850024.

The spelling of 10383872 in words is "ten million, three hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 1193 2176 2386 4352 4772 8704 9544 19088 20281 38176 40562 76352 81124 152704 162248 305408 324496 610816 648992 1297984 2595968 5191936 10383872