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10012912 = 247132232
BaseRepresentation
bin100110001100…
…100011110000
3200211201010121
4212030203300
510030403122
6554340024
7151052110
oct46144360
920751117
1010012912
115719938
12342a614
1320c7700
141489040
15d2bbc7
hex98c8f0

10012912 has 90 divisors (see below), whose sum is σ = 25097352. Its totient is φ = 3788928.

The previous prime is 10012901. The next prime is 10012913. The reversal of 10012912 is 21921001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012913) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 435333 + ... + 435355.

Almost surely, 210012912 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 10012912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548676).

10012912 is an abundant number, since it is smaller than the sum of its proper divisors (15084440).

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

10012912 is a wasteful number, since it uses less digits than its factorization.

10012912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 10012912 is about 3164.3185680333. The cubic root of 10012912 is about 215.5361559912.

Adding to 10012912 its reverse (21921001), we get a palindrome (31933913).

The spelling of 10012912 in words is "ten million, twelve thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 169 182 184 208 299 322 338 364 368 529 598 644 676 728 1058 1183 1196 1288 1352 1456 2093 2116 2366 2392 2576 2704 3703 3887 4186 4232 4732 4784 6877 7406 7774 8372 8464 9464 13754 14812 15548 16744 18928 27209 27508 29624 31096 33488 48139 54418 55016 59248 62192 89401 96278 108836 110032 178802 192556 217672 357604 385112 435344 625807 715208 770224 1251614 1430416 2503228 5006456 10012912