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112166544 = 24371773269
BaseRepresentation
bin1101010111110…
…00011010010000
321211001122120110
412223320122100
5212203312134
615044041320
72531254110
oct653703220
9254048513
10112166544
1158351426
1231693240
131a313549
1410c7b040
159ca97e9
hex6af8690

112166544 has 160 divisors (see below), whose sum is σ = 356762880. Its totient is φ = 29638656.

The previous prime is 112166539. The next prime is 112166563. The reversal of 112166544 is 445661211.

It is a congruent number.

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, 416842 + ... + 417110.

It is an arithmetic number, because the mean of its divisors is an integer number (2229768).

Almost surely, 2112166544 is an apocalyptic number.

112166544 is a gapful number since it is divisible by the number (14) 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 112166544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178381440).

112166544 is an abundant number, since it is smaller than the sum of its proper divisors (244596336).

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

112166544 is a wasteful number, since it uses less digits than its factorization.

112166544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 112166544 is about 10590.8707857286. The cubic root of 112166544 is about 482.2672599419.

The spelling of 112166544 in words is "one hundred twelve million, one hundred sixty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 73 84 102 112 119 136 146 168 204 219 238 269 272 292 336 357 408 438 476 511 538 584 714 807 816 876 952 1022 1076 1168 1241 1428 1533 1614 1752 1883 1904 2044 2152 2482 2856 3066 3228 3504 3723 3766 4088 4304 4573 4964 5649 5712 6132 6456 7446 7532 8176 8687 9146 9928 11298 12264 12912 13719 14892 15064 17374 18292 19637 19856 22596 24528 26061 27438 29784 30128 32011 34748 36584 39274 45192 52122 54876 58911 59568 64022 69496 73168 78548 90384 96033 104244 109752 117822 128044 137459 138992 157096 192066 208488 219504 235644 256088 274918 314192 333829 384132 412377 416976 471288 512176 549836 667658 768264 824754 942576 1001487 1099672 1335316 1536528 1649508 2002974 2199344 2336803 2670632 3299016 4005948 4673606 5341264 6598032 7010409 8011896 9347212 14020818 16023792 18694424 28041636 37388848 56083272 112166544