Search a number
-
+
10712616 = 233479497
BaseRepresentation
bin101000110111…
…011000101000
3202011020221120
4220313120220
510220300431
61021335240
7160025055
oct50673050
922136846
1010712616
116057602
123707520
1322b1035
1415cc02c
15e19196
hexa37628

10712616 has 32 divisors (see below), whose sum is σ = 27354240. Its totient is φ = 3494528.

The previous prime is 10712593. The next prime is 10712621. The reversal of 10712616 is 61621701.

It is a super-2 number, since 2×107126162 = 229520283126912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3621 + ... + 5876.

It is an arithmetic number, because the mean of its divisors is an integer number (854820).

Almost surely, 210712616 is an apocalyptic number.

It is an amenable number.

10712616 is an abundant number, since it is smaller than the sum of its proper divisors (16641624).

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

10712616 is a wasteful number, since it uses less digits than its factorization.

10712616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10712616 is about 3273.0132905321. The cubic root of 10712616 is about 220.4441166273. Note that the first 3 decimals are identical.

The spelling of 10712616 in words is "ten million, seven hundred twelve thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 9497 18994 28491 37988 56982 75976 113964 227928 446359 892718 1339077 1785436 2678154 3570872 5356308 10712616