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5731920 = 2432519419
BaseRepresentation
bin10101110111011001010000
3101210012201100
4111313121100
52431410140
6322504400
766502065
oct25673120
911705640
105731920
113265527
121b05100
131258c8c
14a92c6c
15783530
hex577650

5731920 has 120 divisors (see below), whose sum is σ = 20311200. Its totient is φ = 1444608.

The previous prime is 5731919. The next prime is 5731949. The reversal of 5731920 is 291375.

5731920 is a `hidden beast` number, since 573 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13471 + ... + 13889.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 25731920 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 5731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

5731920 is an abundant number, since it is smaller than the sum of its proper divisors (14579280).

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

5731920 is a wasteful number, since it uses less digits than its factorization.

5731920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

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

The square root of 5731920 is about 2394.1428528808. The cubic root of 5731920 is about 178.9644239192.

The spelling of 5731920 in words is "five million, seven hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 419 456 570 684 720 760 838 855 912 1140 1257 1368 1520 1676 1710 2095 2280 2514 2736 3352 3420 3771 4190 4560 5028 6285 6704 6840 7542 7961 8380 10056 12570 13680 15084 15922 16760 18855 20112 23883 25140 30168 31844 33520 37710 39805 47766 50280 60336 63688 71649 75420 79610 95532 100560 119415 127376 143298 150840 159220 191064 238830 286596 301680 318440 358245 382128 477660 573192 636880 716490 955320 1146384 1432980 1910640 2865960 5731920