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5857520 = 245175973
BaseRepresentation
bin10110010110000011110000
3102000121000012
4112112003300
52444420040
6325314052
7100534214
oct26260360
912017005
105857520
113340929
121b65928
1312a11b6
14ac6944
157aa865
hex5960f0

5857520 has 80 divisors (see below), whose sum is σ = 14865120. Its totient is φ = 2138112.

The previous prime is 5857519. The next prime is 5857531. The reversal of 5857520 is 257585.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80204 + ... + 80276.

It is an arithmetic number, because the mean of its divisors is an integer number (185814).

Almost surely, 25857520 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 5857520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432560).

5857520 is an abundant number, since it is smaller than the sum of its proper divisors (9007600).

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

5857520 is a wasteful number, since it uses less digits than its factorization.

5857520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 5857520 is about 2420.2313938960. The cubic root of 5857520 is about 180.2621694061.

The spelling of 5857520 in words is "five million, eight hundred fifty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 59 68 73 80 85 118 136 146 170 236 272 292 295 340 365 472 584 590 680 730 944 1003 1168 1180 1241 1360 1460 2006 2360 2482 2920 4012 4307 4720 4964 5015 5840 6205 8024 8614 9928 10030 12410 16048 17228 19856 20060 21535 24820 34456 40120 43070 49640 68912 73219 80240 86140 99280 146438 172280 292876 344560 366095 585752 732190 1171504 1464380 2928760 5857520