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1308427764 = 223773379563
BaseRepresentation
bin100110111111101…
…0000010111110100
310101012001000110120
41031333100113310
510134424142024
6333500051540
744265311130
oct11577202764
93335030416
101308427764
11611634166
12306233bb0
1317b0c9017
14c5ab63c0
1579d07479
hex4dfd05f4

1308427764 has 96 divisors (see below), whose sum is σ = 3552568320. Its totient is φ = 367089408.

The previous prime is 1308427759. The next prime is 1308427807. The reversal of 1308427764 is 4677248031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2323747 + ... + 2324309.

It is an arithmetic number, because the mean of its divisors is an integer number (37005920).

Almost surely, 21308427764 is an apocalyptic number.

1308427764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1308427764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776284160).

1308427764 is an abundant number, since it is smaller than the sum of its proper divisors (2244140556).

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

1308427764 is a wasteful number, since it uses less digits than its factorization.

1308427764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 1308427764 is about 36172.1960074309. The cubic root of 1308427764 is about 1093.7462667454.

The spelling of 1308427764 in words is "one billion, three hundred eight million, four hundred twenty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 379 438 511 563 758 876 1022 1126 1137 1516 1533 1689 2044 2252 2274 2653 3066 3378 3941 4548 5306 6132 6756 7882 7959 10612 11823 15764 15918 23646 27667 31836 41099 47292 55334 82198 83001 110668 123297 164396 166002 193669 213377 246594 287693 332004 387338 426754 493188 575386 581007 640131 774676 853508 863079 1150772 1162014 1280262 1493639 1726158 2324028 2560524 2987278 3452316 4480917 5974556 8961834 15576521 17923668 31153042 46729563 62306084 93459126 109035647 186918252 218071294 327106941 436142588 654213882 1308427764