Search a number
-
+
705714672 = 243131130953
BaseRepresentation
bin101010000100000…
…101100111110000
31211011221000112110
4222010011213300
52421130332142
6154005525320
723326322115
oct5204054760
91734830473
10705714672
113323a2973
12178413840
13b3290560
1469a2490c
1541e5099c
hex2a1059f0

705714672 has 40 divisors (see below), whose sum is σ = 1963336144. Its totient is φ = 217142784.

The previous prime is 705714671. The next prime is 705714677. The reversal of 705714672 is 276417507.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 705714672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705714671) 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, 564853 + ... + 566100.

Almost surely, 2705714672 is an apocalyptic number.

It is an amenable number.

705714672 is an abundant number, since it is smaller than the sum of its proper divisors (1257621472).

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

705714672 is a wasteful number, since it uses less digits than its factorization.

705714672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130977 (or 1130971 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 705714672 is about 26565.2907381041. The cubic root of 705714672 is about 890.3136848235.

The spelling of 705714672 in words is "seven hundred five million, seven hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1130953 2261906 3392859 4523812 6785718 9047624 13571436 14702389 18095248 27142872 29404778 44107167 54285744 58809556 88214334 117619112 176428668 235238224 352857336 705714672