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5706960 = 243574379
BaseRepresentation
bin10101110001010011010000
3101201221110220
4111301103100
52430110320
6322153040
766336240
oct25612320
911657426
105706960
1132487a6
121ab2780
13124a7cc
14a87b20
1577ae40
hex5714d0

5706960 has 160 divisors (see below), whose sum is σ = 20951040. Its totient is φ = 1257984.

The previous prime is 5706959. The next prime is 5706971. The reversal of 5706960 is 696075.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72201 + ... + 72279.

It is an arithmetic number, because the mean of its divisors is an integer number (130944).

Almost surely, 25706960 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 5706960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475520).

5706960 is an abundant number, since it is smaller than the sum of its proper divisors (15244080).

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

5706960 is a wasteful number, since it uses less digits than its factorization.

5706960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 5706960 is about 2388.9244441798. The cubic root of 5706960 is about 178.7042753928.

It can be divided in two parts, 5706 and 960, that added together give a palindrome (6666).

The spelling of 5706960 in words is "five million, seven hundred six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 79 80 84 86 105 112 120 129 140 158 168 172 210 215 237 240 258 280 301 316 336 344 395 420 430 474 516 553 560 602 632 645 688 790 840 860 903 948 1032 1106 1185 1204 1264 1290 1505 1580 1659 1680 1720 1806 1896 2064 2212 2370 2408 2580 2765 3010 3160 3318 3397 3440 3612 3792 4424 4515 4740 4816 5160 5530 6020 6320 6636 6794 7224 8295 8848 9030 9480 10191 10320 11060 12040 13272 13588 14448 16590 16985 18060 18960 20382 22120 23779 24080 26544 27176 33180 33970 36120 40764 44240 47558 50955 54352 66360 67940 71337 72240 81528 95116 101910 118895 132720 135880 142674 163056 190232 203820 237790 271760 285348 356685 380464 407640 475580 570696 713370 815280 951160 1141392 1426740 1902320 2853480 5706960