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764075130 = 235721339983
BaseRepresentation
bin101101100010101…
…101110001111010
31222020202001000220
4231202231301322
53031100401010
6203452440510
724635350200
oct5542556172
91866661026
10764075130
11362333a55
12193a79136
13c23b5180
1473697070
154712c970
hex2d8adc7a

764075130 has 96 divisors (see below), whose sum is σ = 2297320704. Its totient is φ = 161207424.

The previous prime is 764075107. The next prime is 764075141. The reversal of 764075130 is 31570467.

It is a junction number, because it is equal to n+sod(n) for n = 764075091 and 764075100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882 + ... + 39101.

It is an arithmetic number, because the mean of its divisors is an integer number (23930424).

Almost surely, 2764075130 is an apocalyptic number.

764075130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 764075130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148660352).

764075130 is an abundant number, since it is smaller than the sum of its proper divisors (1533245574).

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

764075130 is a wasteful number, since it uses less digits than its factorization.

764075130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40020 (or 40013 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 764075130 is about 27641.9089427630. The cubic root of 764075130 is about 914.2087100209.

The spelling of 764075130 in words is "seven hundred sixty-four million, seventy-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1470 1911 2730 3185 3822 6370 9555 19110 39983 79966 119949 199915 239898 279881 399830 519779 559762 599745 839643 1039558 1199490 1399405 1559337 1679286 1959167 2598895 2798810 3118674 3638453 3918334 4198215 5197790 5877501 7276906 7796685 8396430 9795835 10915359 11755002 15593370 18192265 19591670 21830718 25469171 29387505 36384530 50938342 54576795 58775010 76407513 109153590 127345855 152815026 254691710 382037565 764075130