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764123140 = 2251117204311
BaseRepresentation
bin101101100010111…
…001100000000100
31222020211110220001
4231202321200010
53031103420030
6203453451044
724635640154
oct5542714004
91866743801
10764123140
11362367030
12193aa0a84
13c2400c91
14736aa764
154713bcca
hex2d8b9804

764123140 has 48 divisors (see below), whose sum is σ = 1853518464. Its totient is φ = 261516800.

The previous prime is 764123137. The next prime is 764123147. The reversal of 764123140 is 41321467.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 764123099 and 764123108.

It is not an unprimeable number, because it can be changed into a prime (764123147) 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, 98416 + ... + 105895.

It is an arithmetic number, because the mean of its divisors is an integer number (38614968).

Almost surely, 2764123140 is an apocalyptic number.

It is an amenable number.

764123140 is an abundant number, since it is smaller than the sum of its proper divisors (1089395324).

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

764123140 is a wasteful number, since it uses less digits than its factorization.

764123140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204348 (or 204346 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 764123140 is about 27642.7773568431. Note that the first 3 decimals coincide. The cubic root of 764123140 is about 914.2278574577.

It can be divided in two parts, 764 and 123140, that added together give a square (123904 = 3522).

The spelling of 764123140 in words is "seven hundred sixty-four million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 204311 408622 817244 1021555 2043110 2247421 3473287 4086220 4494842 6946574 8989684 11237105 13893148 17366435 22474210 34732870 38206157 44948420 69465740 76412314 152824628 191030785 382061570 764123140