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1135656912 = 2431373107233
BaseRepresentation
bin100001110110000…
…1011111111010000
32221010221100102010
41003230023333100
54311212010122
6304405022520
740066632045
oct10354137720
92833840363
101135656912
11533059935
122783b4a40
13151386750
14aab811cc
1569a7ae0c
hex43b0bfd0

1135656912 has 160 divisors (see below), whose sum is σ = 3246542208. Its totient is φ = 339959808.

The previous prime is 1135656859. The next prime is 1135656919. The reversal of 1135656912 is 2196565311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135656919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4873948 + ... + 4874180.

Almost surely, 21135656912 is an apocalyptic number.

1135656912 is a gapful number since it is divisible by the number (12) 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 1135656912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623271104).

1135656912 is an abundant number, since it is smaller than the sum of its proper divisors (2110885296).

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

1135656912 is a wasteful number, since it uses less digits than its factorization.

1135656912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its digits is 48600, while the sum is 39.

The square root of 1135656912 is about 33699.5090765429. The cubic root of 1135656912 is about 1043.3156360973.

The spelling of 1135656912 in words is "one billion, one hundred thirty-five million, six hundred fifty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 107 146 156 208 214 219 233 292 312 321 428 438 466 584 624 642 699 856 876 932 949 1168 1284 1391 1398 1712 1752 1864 1898 2568 2782 2796 2847 3029 3504 3728 3796 4173 5136 5564 5592 5694 6058 7592 7811 8346 9087 11128 11184 11388 12116 15184 15622 16692 17009 18174 22256 22776 23433 24232 24931 31244 33384 34018 36348 45552 46866 48464 49862 51027 62488 66768 68036 72696 74793 93732 99724 101543 102054 124976 136072 145392 149586 187464 199448 203086 204108 221117 272144 299172 304629 324103 374928 398896 406172 408216 442234 598344 609258 648206 663351 812344 816432 884468 972309 1196688 1218516 1296412 1326702 1624688 1768936 1819963 1944618 2437032 2592824 2653404 3537872 3639926 3889236 4874064 5185648 5306808 5459889 7279852 7778472 10613616 10919778 14559704 15556944 21839556 23659519 29119408 43679112 47319038 70978557 87358224 94638076 141957114 189276152 283914228 378552304 567828456 1135656912