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112726504 = 231121011153
BaseRepresentation
bin1101011100000…
…01000111101000
321212010002200201
412232001013220
5212324222004
615104041544
72536105462
oct656010750
9255102621
10112726504
11586a4100
12319032b4
131a47b397
1410d85132
159d6a6a4
hex6b811e8

112726504 has 48 divisors (see below), whose sum is σ = 234827460. Its totient is φ = 50688000.

The previous prime is 112726499. The next prime is 112726511. The reversal of 112726504 is 405627211.

It can be written as a sum of positive squares in 2 ways, for example, as 91584900 + 21141604 = 9570^2 + 4598^2 .

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, 97192 + ... + 98344.

Almost surely, 2112726504 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 112726504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117413730).

112726504 is an abundant number, since it is smaller than the sum of its proper divisors (122100956).

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

112726504 is a wasteful number, since it uses less digits than its factorization.

112726504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 112726504 is about 10617.2738497224. The cubic root of 112726504 is about 483.0684561628.

The spelling of 112726504 in words is "one hundred twelve million, seven hundred twenty-six thousand, five hundred four".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 1153 2222 2306 4444 4612 8888 9224 12221 12683 24442 25366 48884 50732 97768 101464 116453 139513 232906 279026 465812 558052 931624 1116104 1280983 2561966 5123932 10247864 14090813 28181626 56363252 112726504