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5725920 = 253579151
BaseRepresentation
bin10101110101111011100000
3101202220111010
4111311323200
52431212140
6322420520
766445434
oct25657340
911686433
105725920
113260a72
121b01740
131256325
14a909c4
15781880
hex575ee0

5725920 has 96 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 1497600.

The previous prime is 5725913. The next prime is 5725927. The reversal of 5725920 is 295275.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5725913) and next prime (5725927).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5725927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37845 + ... + 37995.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 25725920 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 5725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

5725920 is an abundant number, since it is smaller than the sum of its proper divisors (12660000).

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

5725920 is a wasteful number, since it uses less digits than its factorization.

5725920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 5725920 is about 2392.8894667326. The cubic root of 5725920 is about 178.9019572745.

The spelling of 5725920 in words is "five million, seven hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 151 158 160 237 240 302 316 395 453 474 480 604 632 755 790 906 948 1185 1208 1264 1510 1580 1812 1896 2265 2370 2416 2528 3020 3160 3624 3792 4530 4740 4832 6040 6320 7248 7584 9060 9480 11929 12080 12640 14496 18120 18960 23858 24160 35787 36240 37920 47716 59645 71574 72480 95432 119290 143148 178935 190864 238580 286296 357870 381728 477160 572592 715740 954320 1145184 1431480 1908640 2862960 5725920