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10039296 = 21231943
BaseRepresentation
bin100110010011…
…000000000000
3200220001022210
4212103000000
510032224141
6555102120
7151222041
oct46230000
920801283
1010039296
115737743
123441940
132106717
1414948c8
15d34916
hex993000

10039296 has 104 divisors (see below), whose sum is σ = 28832320. Its totient is φ = 3096576.

The previous prime is 10039291. The next prime is 10039297. The reversal of 10039296 is 69293001.

10039296 = T5 + T6 + ... + T391.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10039291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233451 + ... + 233493.

Almost surely, 210039296 is an apocalyptic number.

10039296 is a gapful number since it is divisible by the number (16) 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 10039296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416160).

10039296 is an abundant number, since it is smaller than the sum of its proper divisors (18793024).

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

10039296 is an equidigital number, since it uses as much as digits as its factorization.

10039296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 10039296 is about 3168.4848113886. The cubic root of 10039296 is about 215.7253023794.

The spelling of 10039296 in words is "ten million, thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 96 114 128 129 152 172 192 228 256 258 304 344 384 456 512 516 608 688 768 817 912 1024 1032 1216 1376 1536 1634 1824 2048 2064 2432 2451 2752 3072 3268 3648 4096 4128 4864 4902 5504 6144 6536 7296 8256 9728 9804 11008 12288 13072 14592 16512 19456 19608 22016 26144 29184 33024 38912 39216 44032 52288 58368 66048 77824 78432 88064 104576 116736 132096 156864 176128 209152 233472 264192 313728 418304 528384 627456 836608 1254912 1673216 2509824 3346432 5019648 10039296