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830666560 = 2654163313
BaseRepresentation
bin110001100000101…
…111011101000000
32010220001020022011
4301200233131000
53200122312220
6214232022304
726404356253
oct6140573500
92126036264
10830666560
11396987099
121b2231994
1310312c399
147c46d09a
154cdd365a
hex3182f740

830666560 has 56 divisors (see below), whose sum is σ = 2026301256. Its totient is φ = 324157440.

The previous prime is 830666537. The next prime is 830666587. The reversal of 830666560 is 65666038.

It can be written as a sum of positive squares in 4 ways, for example, as 47114496 + 783552064 = 6864^2 + 27992^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 18537 + ... + 44776.

It is an arithmetic number, because the mean of its divisors is an integer number (36183951).

Almost surely, 2830666560 is an apocalyptic number.

830666560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830666560 is an abundant number, since it is smaller than the sum of its proper divisors (1195634696).

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

830666560 is a wasteful number, since it uses less digits than its factorization.

830666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63371 (or 63361 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 830666560 is about 28821.2865778056. The cubic root of 830666560 is about 940.0311442827.

The spelling of 830666560 in words is "eight hundred thirty million, six hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 63313 126626 253252 316565 506504 633130 1013008 1266260 2026016 2532520 2595833 4052032 5065040 5191666 10130080 10383332 12979165 20260160 20766664 25958330 41533328 51916660 83066656 103833320 166133312 207666640 415333280 830666560