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30855680 = 29517709
BaseRepresentation
bin111010110110…
…1001000000000
32011001122000222
41311231020000
530344340210
63021202212
7523161152
oct165551000
964048028
1030855680
1116465369
12a400368
1365145cb
144152ad2
152a97655
hex1d6d200

30855680 has 80 divisors (see below), whose sum is σ = 78443640. Its totient is φ = 11599872.

The previous prime is 30855661. The next prime is 30855703. The reversal of 30855680 is 8655803.

It can be written as a sum of positive squares in 4 ways, for example, as 23193856 + 7661824 = 4816^2 + 2768^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 30855680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43166 + ... + 43874.

Almost surely, 230855680 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 30855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39221820).

30855680 is an abundant number, since it is smaller than the sum of its proper divisors (47587960).

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

30855680 is an equidigital number, since it uses as much as digits as its factorization.

30855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 30855680 is about 5554.7889248827. The cubic root of 30855680 is about 313.6498185466.

The spelling of 30855680 in words is "thirty million, eight hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 709 1088 1280 1360 1418 2176 2560 2720 2836 3545 4352 5440 5672 7090 8704 10880 11344 12053 14180 21760 22688 24106 28360 43520 45376 48212 56720 60265 90752 96424 113440 120530 181504 192848 226880 241060 363008 385696 453760 482120 771392 907520 964240 1542784 1815040 1928480 3085568 3856960 6171136 7713920 15427840 30855680