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5695680 = 263517349
BaseRepresentation
bin10101101110100011000000
3101201101000010
4111232203000
52424230210
6322024520
766261324
oct25564300
911641003
105695680
113240281
121aa8140
131245633
14a83984
15777920
hex56e8c0

5695680 has 112 divisors (see below), whose sum is σ = 19202400. Its totient is φ = 1425408.

The previous prime is 5695667. The next prime is 5695681. The reversal of 5695680 is 865965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5695681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16146 + ... + 16494.

It is an arithmetic number, because the mean of its divisors is an integer number (171450).

Almost surely, 25695680 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 5695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601200).

5695680 is an abundant number, since it is smaller than the sum of its proper divisors (13506720).

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

5695680 is a wasteful number, since it uses less digits than its factorization.

5695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5695680 is about 2386.5623813343. The cubic root of 5695680 is about 178.5864593824.

The spelling of 5695680 in words is "five million, six hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 349 408 480 510 544 680 698 816 960 1020 1047 1088 1360 1396 1632 1745 2040 2094 2720 2792 3264 3490 4080 4188 5235 5440 5584 5933 6980 8160 8376 10470 11168 11866 13960 16320 16752 17799 20940 22336 23732 27920 29665 33504 35598 41880 47464 55840 59330 67008 71196 83760 88995 94928 111680 118660 142392 167520 177990 189856 237320 284784 335040 355980 379712 474640 569568 711960 949280 1139136 1423920 1898560 2847840 5695680