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10412032 = 2133141
BaseRepresentation
bin100111101110…
…000000000000
3201120222121211
4213232000000
510131141112
61011055504
7154333531
oct47560000
921528554
1010412032
115971794
1235a1594
132207287
141550688
15daa0a7
hex9ee000

10412032 has 56 divisors (see below), whose sum is σ = 22018752. Its totient is φ = 4915200.

The previous prime is 10412027. The next prime is 10412047. The reversal of 10412032 is 23021401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253932 + ... + 253972.

It is an arithmetic number, because the mean of its divisors is an integer number (393192).

Almost surely, 210412032 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 10412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11009376).

10412032 is an abundant number, since it is smaller than the sum of its proper divisors (11606720).

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

10412032 is an frugal number, since it uses more digits than its factorization.

10412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10412032 is about 3226.7680424846. The cubic root of 10412032 is about 218.3627213451.

Adding to 10412032 its reverse (23021401), we get a palindrome (33433433).

The spelling of 10412032 in words is "ten million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 256 328 496 512 656 992 1024 1271 1312 1984 2048 2542 2624 3968 4096 5084 5248 7936 8192 10168 10496 15872 20336 20992 31744 40672 41984 63488 81344 83968 126976 162688 167936 253952 325376 335872 650752 1301504 2603008 5206016 10412032