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680270720 = 2751636521
BaseRepresentation
bin101000100011000…
…001101110000000
31202102001022222212
4220203001232000
52343122130340
6151300321252
722600130363
oct5043015600
91672038885
10680270720
11319aa4508
1216b9a3228
13aac2226c
14664c00da
153eac6a65
hex288c1b80

680270720 has 64 divisors (see below), whose sum is σ = 1636500240. Its totient is φ = 270397440.

The previous prime is 680270713. The next prime is 680270743. The reversal of 680270720 is 27072086.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 101060 + ... + 107580.

Almost surely, 2680270720 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 680270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818250120).

680270720 is an abundant number, since it is smaller than the sum of its proper divisors (956229520).

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

680270720 is a wasteful number, since it uses less digits than its factorization.

680270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 680270720 is about 26081.9999233188. Note that the first 4 decimals coincide. The cubic root of 680270720 is about 879.4826159809.

680270720 divided by its sum of digits (32) gives a triangular number (21258460 = T6520).

The spelling of 680270720 in words is "six hundred eighty million, two hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 320 326 640 652 815 1304 1630 2608 3260 5216 6520 6521 10432 13040 13042 20864 26080 26084 32605 52160 52168 65210 104320 104336 130420 208672 260840 417344 521680 834688 1043360 1062923 2086720 2125846 4173440 4251692 5314615 8503384 10629230 17006768 21258460 34013536 42516920 68027072 85033840 136054144 170067680 340135360 680270720