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113198580 = 2233511171959
BaseRepresentation
bin1101011111101…
…00010111110100
321220000002021000
412233310113310
5212434323310
615122123300
72543113005
oct657642764
9256002230
10113198580
1158996850
1231ab0530
131a5b5211
14110691ac
159e104c0
hex6bf45f4

113198580 has 384 divisors, whose sum is σ = 435456000. Its totient is φ = 24053760.

The previous prime is 113198573. The next prime is 113198621. The reversal of 113198580 is 85891311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1918591 + ... + 1918649.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2113198580 is an apocalyptic number.

113198580 is a gapful number since it is divisible by the number (10) 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 113198580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

113198580 is an abundant number, since it is smaller than the sum of its proper divisors (322257420).

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

113198580 is a wasteful number, since it uses less digits than its factorization.

113198580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 113198580 is about 10639.4821302543. The cubic root of 113198580 is about 483.7418483092.

The spelling of 113198580 in words is "one hundred thirteen million, one hundred ninety-eight thousand, five hundred eighty".