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712745060 = 2251737531069
BaseRepresentation
bin101010011110111…
…010000001100100
31211200011012102012
4222132322001210
52424430320220
6154420333352
723443142636
oct5236720144
91750135365
10712745060
11336364a05
1217a844258
13b4882551
146a934a56
154288dac5
hex2a7ba064

712745060 has 96 divisors (see below), whose sum is σ = 1659903840. Its totient is φ = 255909888.

The previous prime is 712745053. The next prime is 712745069. The reversal of 712745060 is 60547217.

It can be written as a sum of positive squares in 16 ways, for example, as 68644 + 712676416 = 262^2 + 26696^2 .

It is not an unprimeable number, because it can be changed into a prime (712745069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666206 + ... + 667274.

It is an arithmetic number, because the mean of its divisors is an integer number (17290665).

Almost surely, 2712745060 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 712745060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829951920).

712745060 is an abundant number, since it is smaller than the sum of its proper divisors (947158780).

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

712745060 is a wasteful number, since it uses less digits than its factorization.

712745060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 712745060 is about 26697.2856298164. The cubic root of 712745060 is about 893.2603808524.

The spelling of 712745060 in words is "seven hundred twelve million, seven hundred forty-five thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 37 53 68 74 85 106 148 170 185 212 265 340 370 530 629 740 901 1060 1069 1258 1802 1961 2138 2516 3145 3604 3922 4276 4505 5345 6290 7844 9010 9805 10690 12580 18020 18173 19610 21380 33337 36346 39220 39553 56657 66674 72692 79106 90865 113314 133348 158212 166685 181730 197765 226628 283285 333370 363460 395530 566570 666740 672401 791060 963169 1133140 1344802 1926338 2096309 2689604 3362005 3852676 4192618 4815845 6724010 8385236 9631690 10481545 13448020 19263380 20963090 35637253 41926180 71274506 142549012 178186265 356372530 712745060