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1076882112 = 26324574091
BaseRepresentation
bin100000000101111…
…1110101011000000
32210001100021112200
41000023332223000
54201140211422
6254505153200
735454226665
oct10013765300
92701307480
101076882112
11502965519
1226078b800
13142148367
14a3041a6c
156481b2ac
hex402feac0

1076882112 has 84 divisors (see below), whose sum is σ = 3094198536. Its totient is φ = 358087680.

The previous prime is 1076882047. The next prime is 1076882113. The reversal of 1076882112 is 2112886701.

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

It is not an unprimeable number, because it can be changed into a prime (1076882113) 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 11 ways as a sum of consecutive naturals, for example, 261187 + ... + 265277.

Almost surely, 21076882112 is an apocalyptic number.

1076882112 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 1076882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547099268).

1076882112 is an abundant number, since it is smaller than the sum of its proper divisors (2017316424).

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

1076882112 is a wasteful number, since it uses less digits than its factorization.

1076882112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1076882112 is about 32815.8820085641. The cubic root of 1076882112 is about 1024.9972990609.

The spelling of 1076882112 in words is "one billion, seventy-six million, eight hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 457 576 914 1371 1828 2742 3656 4091 4113 5484 7312 8182 8226 10968 12273 14624 16364 16452 21936 24546 29248 32728 32904 36819 43872 49092 65456 65808 73638 87744 98184 130912 131616 147276 196368 261824 263232 294552 392736 589104 785472 1178208 1869587 2356416 3739174 5608761 7478348 11217522 14956696 16826283 22435044 29913392 33652566 44870088 59826784 67305132 89740176 119653568 134610264 179480352 269220528 358960704 538441056 1076882112