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10712304 = 2433137181
BaseRepresentation
bin101000110111…
…010011110000
3202011020112000
4220313103300
510220243204
61021334000
7160024131
oct50672360
922136460
1010712304
116057349
123707300
1322b0b55
1415cbc88
15e19039
hexa374f0

10712304 has 80 divisors (see below), whose sum is σ = 31143840. Its totient is φ = 3525120.

The previous prime is 10712293. The next prime is 10712311. The reversal of 10712304 is 40321701.

10712304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107123042 = 229506913976832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59094 + ... + 59274.

It is an arithmetic number, because the mean of its divisors is an integer number (389298).

Almost surely, 210712304 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 10712304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15571920).

10712304 is an abundant number, since it is smaller than the sum of its proper divisors (20431536).

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

10712304 is a wasteful number, since it uses less digits than its factorization.

10712304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10712304 is about 3272.9656276839. The cubic root of 10712304 is about 220.4419764954.

It can be divided in two parts, 1071 and 2304, that added together give a cube (3375 = 153).

The spelling of 10712304 in words is "ten million, seven hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 181 216 274 362 411 432 543 548 724 822 1086 1096 1233 1448 1629 1644 2172 2192 2466 2896 3258 3288 3699 4344 4887 4932 6516 6576 7398 8688 9774 9864 13032 14796 19548 19728 24797 26064 29592 39096 49594 59184 74391 78192 99188 148782 198376 223173 297564 396752 446346 595128 669519 892692 1190256 1339038 1785384 2678076 3570768 5356152 10712304