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5745960 = 23325111451
BaseRepresentation
bin10101111010110100101000
3101210220222100
4111322310220
52432332320
6323053400
766561033
oct25726450
911726870
105745960
113275030
121b11260
13126249c
14a9801a
15787790
hex57ad28

5745960 has 96 divisors (see below), whose sum is σ = 20386080. Its totient is φ = 1392000.

The previous prime is 5745953. The next prime is 5745967. The reversal of 5745960 is 695475.

It is an interprime number because it is at equal distance from previous prime (5745953) and next prime (5745967).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5745967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3235 + ... + 4685.

It is an arithmetic number, because the mean of its divisors is an integer number (212355).

Almost surely, 25745960 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 5745960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10193040).

5745960 is an abundant number, since it is smaller than the sum of its proper divisors (14640120).

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

5745960 is a wasteful number, since it uses less digits than its factorization.

5745960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5745960 is about 2397.0732154025. The cubic root of 5745960 is about 179.1104257104.

The spelling of 5745960 in words is "five million, seven hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1451 1980 2902 3960 4353 5804 7255 8706 11608 13059 14510 15961 17412 21765 26118 29020 31922 34824 43530 47883 52236 58040 63844 65295 79805 87060 95766 104472 127688 130590 143649 159610 174120 191532 239415 261180 287298 319220 383064 478830 522360 574596 638440 718245 957660 1149192 1436490 1915320 2872980 5745960