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113070672 = 2432111317219
BaseRepresentation
bin1101011110101…
…01001001010000
321212202120210200
412233111021100
5212421230142
615115255200
72542041051
oct657251120
9255676720
10113070672
1158909740
1231a4a500
131a56bc30
1411034728
159dd764c
hex6bd5250

113070672 has 360 divisors, whose sum is σ = 415702560. Its totient is φ = 28200960.

The previous prime is 113070667. The next prime is 113070697. The reversal of 113070672 is 276070311.

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 71 ways as a sum of consecutive naturals, for example, 5951079 + ... + 5951097.

Almost surely, 2113070672 is an apocalyptic number.

113070672 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 113070672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207851280).

113070672 is an abundant number, since it is smaller than the sum of its proper divisors (302631888).

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

113070672 is a wasteful number, since it uses less digits than its factorization.

113070672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 113070672 is about 10633.4694244165. The cubic root of 113070672 is about 483.5595793213.

The spelling of 113070672 in words is "one hundred thirteen million, seventy thousand, six hundred seventy-two".