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113139840 = 2735112487
BaseRepresentation
bin1101011111001…
…10000010000000
321212220002200110
412233212002000
5212430433330
615120551320
72542446522
oct657460200
9255802613
10113139840
1158956700
1231a82540
131a594568
1411051a12
159decdb0
hex6be6080

113139840 has 192 divisors, whose sum is σ = 397212480. Its totient is φ = 27371520.

The previous prime is 113139833. The next prime is 113139877. The reversal of 113139840 is 48931311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 113139798 and 113139807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232077 + ... + 232563.

It is an arithmetic number, because the mean of its divisors is an integer number (2068815).

Almost surely, 2113139840 is an apocalyptic number.

113139840 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 113139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198606240).

113139840 is an abundant number, since it is smaller than the sum of its proper divisors (284072640).

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

113139840 is a wasteful number, since it uses less digits than its factorization.

113139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 113139840 is about 10636.7212993478. The cubic root of 113139840 is about 483.6581608268.

The spelling of 113139840 in words is "one hundred thirteen million, one hundred thirty-nine thousand, eight hundred forty".