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113281152 = 2731571879
BaseRepresentation
bin1101100000010…
…00100010000000
321220011021112020
412300020202000
5212444444102
615124001440
72543605515
oct660104200
9256137466
10113281152
1158a42896
1231b30280
131a61398a
141108b30c
159e29bbc
hex6c08880

113281152 has 64 divisors (see below), whose sum is σ = 302980800. Its totient is φ = 37499904.

The previous prime is 113281127. The next prime is 113281153. The reversal of 113281152 is 251182311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113281153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59349 + ... + 61227.

It is an arithmetic number, because the mean of its divisors is an integer number (4734075).

Almost surely, 2113281152 is an apocalyptic number.

113281152 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 113281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151490400).

113281152 is an abundant number, since it is smaller than the sum of its proper divisors (189699648).

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

113281152 is a wasteful number, since it uses less digits than its factorization.

113281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2041 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

The square root of 113281152 is about 10643.3618748965. The cubic root of 113281152 is about 483.8594405489.

The spelling of 113281152 in words is "one hundred thirteen million, two hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1256 1879 1884 2512 3758 3768 5024 5637 7516 7536 10048 11274 15032 15072 20096 22548 30064 30144 45096 60128 60288 90192 120256 180384 240512 295003 360768 590006 721536 885009 1180012 1770018 2360024 3540036 4720048 7080072 9440096 14160144 18880192 28320288 37760384 56640576 113281152