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112680544 = 252925379
BaseRepresentation
bin1101011011101…
…01111001100000
321212000202122111
412231311321200
5212321234134
615103045104
72535524464
oct655657140
9255022574
10112680544
1158672619
12318a0794
131a4634a2
1410d724a4
159d5bc64
hex6b75e60

112680544 has 72 divisors (see below), whose sum is σ = 237051360. Its totient is φ = 52695552.

The previous prime is 112680527. The next prime is 112680559. The reversal of 112680544 is 445086211.

It is a super-2 number, since 2×1126805442 = 25393809992271872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1426297 + ... + 1426375.

It is an arithmetic number, because the mean of its divisors is an integer number (3292380).

Almost surely, 2112680544 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 112680544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118525680).

112680544 is an abundant number, since it is smaller than the sum of its proper divisors (124370816).

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

112680544 is an equidigital number, since it uses as much as digits as its factorization.

112680544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 112680544 is about 10615.1092316565. The cubic root of 112680544 is about 483.0027962294.

The spelling of 112680544 in words is "one hundred twelve million, six hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 32 53 58 79 106 116 158 212 232 316 424 464 632 841 848 928 1264 1537 1682 1696 2291 2528 3074 3364 4187 4582 6148 6728 8374 9164 12296 13456 16748 18328 24592 26912 33496 36656 44573 49184 66439 66992 73312 89146 121423 132878 133984 178292 242846 265756 356584 485692 531512 713168 971384 1063024 1426336 1942768 2126048 3521267 3885536 7042534 14085068 28170136 56340272 112680544