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5713920 = 21232531
BaseRepresentation
bin10101110011000000000000
3101202022000200
4111303000000
52430321140
6322245200
766365442
oct25630000
911668020
105713920
113252a53
121ab6800
131250a24
14a8a492
1577d030
hex573000

5713920 has 156 divisors (see below), whose sum is σ = 20444736. Its totient is φ = 1474560.

The previous prime is 5713919. The next prime is 5713933. The reversal of 5713920 is 293175.

5713920 is a `hidden beast` number, since 571 + 3 + 92 + 0 = 666.

5713920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184305 + ... + 184335.

It is an arithmetic number, because the mean of its divisors is an integer number (131056).

Almost surely, 25713920 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 5713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10222368).

5713920 is an abundant number, since it is smaller than the sum of its proper divisors (14730816).

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

5713920 is a wasteful number, since it uses less digits than its factorization.

5713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

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

The square root of 5713920 is about 2390.3807228138. The cubic root of 5713920 is about 178.7768929495.

The spelling of 5713920 in words is "five million, seven hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 64 72 80 90 93 96 120 124 128 144 155 160 180 186 192 240 248 256 279 288 310 320 360 372 384 465 480 496 512 558 576 620 640 720 744 768 930 960 992 1024 1116 1152 1240 1280 1395 1440 1488 1536 1860 1920 1984 2048 2232 2304 2480 2560 2790 2880 2976 3072 3720 3840 3968 4096 4464 4608 4960 5120 5580 5760 5952 6144 7440 7680 7936 8928 9216 9920 10240 11160 11520 11904 12288 14880 15360 15872 17856 18432 19840 20480 22320 23040 23808 29760 30720 31744 35712 36864 39680 44640 46080 47616 59520 61440 63488 71424 79360 89280 92160 95232 119040 126976 142848 158720 178560 184320 190464 238080 285696 317440 357120 380928 476160 571392 634880 714240 952320 1142784 1428480 1904640 2856960 5713920