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1134797112 = 2332139149761
BaseRepresentation
bin100001110100011…
…1010000100111000
32221002022122222200
41003220322010320
54311002001422
6304334350200
740056421251
oct10350720470
92832278880
101134797112
11532621959
1227805b360
131511452a7
14aa9d9b28
156995b2ac
hex43a3a138

1134797112 has 96 divisors (see below), whose sum is σ = 3120390000. Its totient is φ = 372533760.

The previous prime is 1134797089. The next prime is 1134797117. The reversal of 1134797112 is 2117974311.

1134797112 is a `hidden beast` number, since 113 + 479 + 71 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134797117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1490812 + ... + 1491572.

Almost surely, 21134797112 is an apocalyptic number.

1134797112 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 1134797112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560195000).

1134797112 is an abundant number, since it is smaller than the sum of its proper divisors (1985592888).

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

1134797112 is a wasteful number, since it uses less digits than its factorization.

1134797112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1054 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 1134797112 is about 33686.7497986968. The cubic root of 1134797112 is about 1043.0522733240.

The spelling of 1134797112 in words is "one billion, one hundred thirty-four million, seven hundred ninety-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 149 278 298 417 447 556 596 761 834 894 1112 1192 1251 1341 1522 1668 1788 2283 2502 2682 3044 3336 3576 4566 5004 5364 6088 6849 9132 10008 10728 13698 18264 20711 27396 41422 54792 62133 82844 105779 113389 124266 165688 186399 211558 226778 248532 317337 340167 372798 423116 453556 497064 634674 680334 745596 846232 907112 952011 1020501 1269348 1360668 1491192 1904022 2041002 2538696 2721336 3808044 4082004 7616088 8164008 15761071 31522142 47283213 63044284 94566426 126088568 141849639 189132852 283699278 378265704 567398556 1134797112