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5700960 = 2532537107
BaseRepresentation
bin10101101111110101100000
3101201122020200
4111233311200
52424412320
6322105200
766312606
oct25576540
911648220
105700960
113244241
121aab200
131247b65
14a85876
15779290
hex56fd60

5700960 has 144 divisors (see below), whose sum is σ = 20167056. Its totient is φ = 1465344.

The previous prime is 5700949. The next prime is 5700973. The reversal of 5700960 is 690075.

5700960 is a `hidden beast` number, since 570 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53227 + ... + 53333.

It is an arithmetic number, because the mean of its divisors is an integer number (140049).

Almost surely, 25700960 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 5700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083528).

5700960 is an abundant number, since it is smaller than the sum of its proper divisors (14466096).

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

5700960 is a wasteful number, since it uses less digits than its factorization.

5700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5700960 is about 2387.6683186741. The cubic root of 5700960 is about 178.6416266485.

The spelling of 5700960 in words is "five million, seven hundred thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 107 111 120 144 148 160 180 185 214 222 240 288 296 321 333 360 370 428 444 480 535 555 592 642 666 720 740 856 888 963 1070 1110 1184 1284 1332 1440 1480 1605 1665 1712 1776 1926 2140 2220 2568 2664 2960 3210 3330 3424 3552 3852 3959 4280 4440 4815 5136 5328 5920 6420 6660 7704 7918 8560 8880 9630 10272 10656 11877 12840 13320 15408 15836 17120 17760 19260 19795 23754 25680 26640 30816 31672 35631 38520 39590 47508 51360 53280 59385 63344 71262 77040 79180 95016 118770 126688 142524 154080 158360 178155 190032 237540 285048 316720 356310 380064 475080 570096 633440 712620 950160 1140192 1425240 1900320 2850480 5700960