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112020732 = 22341931587
BaseRepresentation
bin1101010110101…
…00110011111100
321210210020120000
412223110303330
5212134130412
615040554300
72530106025
oct653246374
9253706500
10112020732
115826191a
1231622990
131a292075
1410c3dc4c
159c7b4dc
hex6ad4cfc

112020732 has 120 divisors (see below), whose sum is σ = 318743040. Its totient is φ = 34175520.

The previous prime is 112020697. The next prime is 112020749. The reversal of 112020732 is 237020211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190543 + ... + 191129.

It is an arithmetic number, because the mean of its divisors is an integer number (2656192).

Almost surely, 2112020732 is an apocalyptic number.

112020732 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 112020732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159371520).

112020732 is an abundant number, since it is smaller than the sum of its proper divisors (206722308).

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

112020732 is a wasteful number, since it uses less digits than its factorization.

112020732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 112020732 is about 10583.9846938665. The cubic root of 112020732 is about 482.0581933033.

Adding to 112020732 its reverse (237020211), we get a palindrome (349040943).

The spelling of 112020732 in words is "one hundred twelve million, twenty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 81 93 108 114 124 162 171 186 228 279 324 342 372 513 558 587 589 684 837 1026 1116 1174 1178 1539 1674 1761 1767 2052 2348 2356 2511 3078 3348 3522 3534 5022 5283 5301 6156 7044 7068 10044 10566 10602 11153 15849 15903 18197 21132 21204 22306 31698 31806 33459 36394 44612 47547 47709 54591 63396 63612 66918 72788 95094 95418 100377 109182 133836 163773 190188 190836 200754 218364 301131 327546 345743 401508 491319 602262 655092 691486 903393 982638 1037229 1204524 1382972 1473957 1806786 1965276 2074458 2947914 3111687 3613572 4148916 5895828 6223374 9335061 12446748 18670122 28005183 37340244 56010366 112020732