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10432872 = 2332473083
BaseRepresentation
bin100111110011…
…000101101000
3201122001012200
4213303011220
510132322442
61011340200
7154451352
oct47630550
921561180
1010432872
11598640a
1235b1660
1322138c8
1415580d2
15db134c
hex9f3168

10432872 has 48 divisors (see below), whose sum is σ = 28866240. Its totient is φ = 3402528.

The previous prime is 10432871. The next prime is 10432879. The reversal of 10432872 is 27823401.

10432872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10432871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1843 + ... + 4925.

It is an arithmetic number, because the mean of its divisors is an integer number (601380).

Almost surely, 210432872 is an apocalyptic number.

10432872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10432872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433120).

10432872 is an abundant number, since it is smaller than the sum of its proper divisors (18433368).

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

10432872 is a wasteful number, since it uses less digits than its factorization.

10432872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10432872 is about 3229.9956656318. The cubic root of 10432872 is about 218.5083108059.

The spelling of 10432872 in words is "ten million, four hundred thirty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3083 3384 6166 9249 12332 18498 24664 27747 36996 55494 73992 110988 144901 221976 289802 434703 579604 869406 1159208 1304109 1738812 2608218 3477624 5216436 10432872