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830467136 = 26174118617
BaseRepresentation
bin110001011111111…
…110110001000000
32010212200002202002
4301133332301000
53200044422021
6214223443132
726402565662
oct6137766100
92125602662
10830467136
11396860284
121b21564a8
1310308c695
147c41a532
154cd9450b
hex317fec40

830467136 has 56 divisors (see below), whose sum is σ = 1787551416. Its totient is φ = 381255680.

The previous prime is 830467129. The next prime is 830467151. The reversal of 830467136 is 631764038.

It can be written as a sum of positive squares in 4 ways, for example, as 242113600 + 588353536 = 15560^2 + 24256^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 830467136.

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, 35300 + ... + 53916.

It is an arithmetic number, because the mean of its divisors is an integer number (31920561).

Almost surely, 2830467136 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 830467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893775708).

830467136 is an abundant number, since it is smaller than the sum of its proper divisors (957084280).

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

830467136 is a wasteful number, since it uses less digits than its factorization.

830467136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18687 (or 18677 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 830467136 is about 28817.8267050102. The cubic root of 830467136 is about 939.9559116186.

The spelling of 830467136 in words is "eight hundred thirty million, four hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 1088 1312 1394 2624 2788 5576 11152 18617 22304 37234 44608 74468 148936 297872 316489 595744 632978 763297 1191488 1265956 1526594 2531912 3053188 5063824 6106376 10127648 12212752 12976049 20255296 24425504 25952098 48851008 51904196 103808392 207616784 415233568 830467136