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1112383688 = 23132372601
BaseRepresentation
bin100001001001101…
…1010000011001000
32212112010221112212
41002103122003020
54234232234223
6302214124252
736365051063
oct10223320310
92775127485
101112383688
11520a03369
12270650688
131495c8500
14a7a438da
15679d0278
hex424da0c8

1112383688 has 72 divisors (see below), whose sum is σ = 2325053430. Its totient is φ = 498700800.

The previous prime is 1112383667. The next prime is 1112383697. The reversal of 1112383688 is 8863832111.

It can be written as a sum of positive squares in 9 ways, for example, as 401521444 + 710862244 = 20038^2 + 26662^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1850588 + ... + 1851188.

Almost surely, 21112383688 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 1112383688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162526715).

1112383688 is an abundant number, since it is smaller than the sum of its proper divisors (1212669742).

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

1112383688 is a wasteful number, since it uses less digits than its factorization.

1112383688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 653 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 1112383688 is about 33352.4165241441. The cubic root of 1112383688 is about 1036.1394370144.

The spelling of 1112383688 in words is "one billion, one hundred twelve million, three hundred eighty-three thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 601 676 962 1202 1352 1369 1924 2404 2738 3848 4808 5476 6253 7813 10952 12506 15626 17797 22237 25012 31252 35594 44474 50024 62504 71188 88948 101569 142376 177896 203138 231361 289081 406276 462722 578162 812552 822769 925444 1156324 1645538 1850888 2312648 3291076 3758053 6582152 7516106 10695997 15032212 21391994 30064424 42783988 85567976 139047961 278095922 556191844 1112383688