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5206760 = 23513171931
BaseRepresentation
bin10011110111001011101000
3100210112022222
4103313023220
52313104020
6303333212
762154026
oct23671350
910715288
105206760
112a36a09
1218b1208
131103c30
14997716
156ccb25
hex4f72e8

5206760 has 128 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1658880.

The previous prime is 5206739. The next prime is 5206783. The reversal of 5206760 is 676025.

It is a super-2 number, since 2×52067602 = 54220699395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 31 ways as a sum of consecutive naturals, for example, 167945 + ... + 167975.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 25206760 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 5206760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

5206760 is an abundant number, since it is smaller than the sum of its proper divisors (9308440).

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

5206760 is a wasteful number, since it uses less digits than its factorization.

5206760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 5206760 is about 2281.8325968397. The cubic root of 5206760 is about 173.3228626154.

The spelling of 5206760 in words is "five million, two hundred six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 17 19 20 26 31 34 38 40 52 62 65 68 76 85 95 104 124 130 136 152 155 170 190 221 247 248 260 310 323 340 380 403 442 494 520 527 589 620 646 680 760 806 884 988 1054 1105 1178 1235 1240 1292 1612 1615 1768 1976 2015 2108 2210 2356 2470 2584 2635 2945 3224 3230 4030 4199 4216 4420 4712 4940 5270 5890 6460 6851 7657 8060 8398 8840 9880 10013 10540 11780 12920 13702 15314 16120 16796 20026 20995 21080 23560 27404 30628 33592 34255 38285 40052 41990 50065 54808 61256 68510 76570 80104 83980 100130 130169 137020 153140 167960 200260 260338 274040 306280 400520 520676 650845 1041352 1301690 2603380 5206760