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1117556136 = 233319307887
BaseRepresentation
bin100001010011100…
…1000110110101000
32212212212201211000
41002213020312220
54242043244021
6302521035000
736460033104
oct10247106650
92785781730
101117556136
11523916514
12272325a60
1314a6b9928
14a85cc904
15681a2b26
hex429c8da8

1117556136 has 128 divisors (see below), whose sum is σ = 3282048000. Its totient is φ = 351366336.

The previous prime is 1117556129. The next prime is 1117556161. The reversal of 1117556136 is 6316557111.

It is a super-2 number, since 2×11175561362 = 2497863434222500992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1117556136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259485 + ... + 1260371.

It is an arithmetic number, because the mean of its divisors is an integer number (25641000).

Almost surely, 21117556136 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 1117556136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641024000).

1117556136 is an abundant number, since it is smaller than the sum of its proper divisors (2164491864).

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

1117556136 is a wasteful number, since it uses less digits than its factorization.

1117556136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1218 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 1117556136 is about 33429.8689198746. The cubic root of 1117556136 is about 1037.7429280858.

The spelling of 1117556136 in words is "one billion, one hundred seventeen million, five hundred fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 307 342 456 513 614 684 887 921 1026 1228 1368 1774 1842 2052 2456 2661 2763 3548 3684 4104 5322 5526 5833 7096 7368 7983 8289 10644 11052 11666 15966 16578 16853 17499 21288 22104 23332 23949 31932 33156 33706 34998 46664 47898 50559 52497 63864 66312 67412 69996 95796 101118 104994 134824 139992 151677 157491 191592 202236 209988 272309 303354 314982 404472 419976 455031 544618 606708 629964 816927 910062 1089236 1213416 1259928 1633854 1820124 2178472 2450781 3267708 3640248 4901562 5173871 6535416 7352343 9803124 10347742 14704686 15521613 19606248 20695484 29409372 31043226 41390968 46564839 58818744 62086452 93129678 124172904 139694517 186259356 279389034 372518712 558778068 1117556136