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760083264 = 2634151971
BaseRepresentation
bin101101010011011…
…111001101000000
31221222020020020000
4231103133031000
53024040131024
6203231120000
724556413123
oct5523371500
91858206200
10760083264
11360057896
12192673000
13c1618215
1472d383ba
1546adecc9
hex2d4df340

760083264 has 140 divisors (see below), whose sum is σ = 2270382048. Its totient is φ = 251424000.

The previous prime is 760083251. The next prime is 760083271. The reversal of 760083264 is 462380067.

760083264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 782299 + ... + 783269.

Almost surely, 2760083264 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 760083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135191024).

760083264 is an abundant number, since it is smaller than the sum of its proper divisors (1510298784).

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

760083264 is a wasteful number, since it uses less digits than its factorization.

760083264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 760083264 is about 27569.6076141827. The cubic root of 760083264 is about 912.6138526608.

The spelling of 760083264 in words is "seven hundred sixty million, eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 151 162 192 216 288 302 324 432 453 576 604 648 864 906 971 1208 1296 1359 1728 1812 1942 2416 2592 2718 2913 3624 3884 4077 4832 5184 5436 5826 7248 7768 8154 8739 9664 10872 11652 12231 14496 15536 16308 17478 21744 23304 24462 26217 28992 31072 32616 34956 43488 46608 48924 52434 62144 65232 69912 78651 86976 93216 97848 104868 130464 139824 146621 157302 186432 195696 209736 260928 279648 293242 314604 391392 419472 439863 559296 586484 629208 782784 838944 879726 1172968 1258416 1319589 1677888 1759452 2345936 2516832 2639178 3518904 3958767 4691872 5033664 5278356 7037808 7917534 9383744 10556712 11876301 14075616 15835068 21113424 23752602 28151232 31670136 42226848 47505204 63340272 84453696 95010408 126680544 190020816 253361088 380041632 760083264