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5308680 = 2335134183
BaseRepresentation
bin10100010000000100001000
3100222201010210
4110100010020
52324334210
6305441120
763060126
oct24200410
910881123
105308680
112aa6543
1219401a0
13113b440
149c2916
156ece20
hex510108

5308680 has 128 divisors (see below), whose sum is σ = 17781120. Its totient is φ = 1259520.

The previous prime is 5308679. The next prime is 5308687. The reversal of 5308680 is 868035.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5308687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63919 + ... + 64001.

It is an arithmetic number, because the mean of its divisors is an integer number (138915).

Almost surely, 25308680 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 5308680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890560).

5308680 is an abundant number, since it is smaller than the sum of its proper divisors (12472440).

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

5308680 is a wasteful number, since it uses less digits than its factorization.

5308680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5308680 is about 2304.0572909544. The cubic root of 5308680 is about 174.4464686936.

The spelling of 5308680 in words is "five million, three hundred eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 83 104 120 123 130 156 164 166 195 205 246 249 260 312 328 332 390 410 415 492 498 520 533 615 664 780 820 830 984 996 1066 1079 1230 1245 1560 1599 1640 1660 1992 2132 2158 2460 2490 2665 3198 3237 3320 3403 4264 4316 4920 4980 5330 5395 6396 6474 6806 7995 8632 9960 10209 10660 10790 12792 12948 13612 15990 16185 17015 20418 21320 21580 25896 27224 31980 32370 34030 40836 43160 44239 51045 63960 64740 68060 81672 88478 102090 129480 132717 136120 176956 204180 221195 265434 353912 408360 442390 530868 663585 884780 1061736 1327170 1769560 2654340 5308680