Search a number
-
+
707712 = 2731997
BaseRepresentation
bin10101100110010000000
31022221210120
42230302000
5140121322
623100240
76005205
oct2546200
91287716
10707712
11443795
122a1680
131ba185
14145cac
15dea5c
hexacc80

707712 has 64 divisors (see below), whose sum is σ = 1999200. Its totient is φ = 221184.

The previous prime is 707711. The next prime is 707717. The reversal of 707712 is 217707.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (707711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7248 + ... + 7344.

2707712 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 707712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999600).

707712 is an abundant number, since it is smaller than the sum of its proper divisors (1291488).

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

707712 is a wasteful number, since it uses less digits than its factorization.

707712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 24.

The square root of 707712 is about 841.2562035432. The cubic root of 707712 is about 89.1152821632.

The spelling of 707712 in words is "seven hundred seven thousand, seven hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 97 114 128 152 192 194 228 291 304 384 388 456 582 608 776 912 1164 1216 1552 1824 1843 2328 2432 3104 3648 3686 4656 5529 6208 7296 7372 9312 11058 12416 14744 18624 22116 29488 37248 44232 58976 88464 117952 176928 235904 353856 707712