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113612632 = 23717131911
BaseRepresentation
bin1101100010110…
…01011101011000
321220210010020021
412301121131120
5213041101012
615135040224
72546456110
oct661313530
9256703207
10113612632
1159149941
1232070074
131a6cb813
1411136040
159e93007
hex6c59758

113612632 has 64 divisors (see below), whose sum is σ = 260029440. Its totient is φ = 45427200.

The previous prime is 113612627. The next prime is 113612657. The reversal of 113612632 is 236216311.

It is a junction number, because it is equal to n+sod(n) for n = 113612597 and 113612606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124257 + ... + 125167.

It is an arithmetic number, because the mean of its divisors is an integer number (4062960).

Almost surely, 2113612632 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 113612632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130014720).

113612632 is an abundant number, since it is smaller than the sum of its proper divisors (146416808).

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

113612632 is a wasteful number, since it uses less digits than its factorization.

113612632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 113612632 is about 10658.9226472472. The cubic root of 113612632 is about 484.3309327485.

Adding to 113612632 its reverse (236216311), we get a palindrome (349828943).

It can be divided in two parts, 113612 and 632, that added together give a square (114244 = 3382).

The spelling of 113612632 in words is "one hundred thirteen million, six hundred twelve thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 131 136 238 262 476 524 911 917 952 1048 1822 1834 2227 3644 3668 4454 6377 7288 7336 8908 12754 15487 15589 17816 25508 30974 31178 51016 61948 62356 108409 119341 123896 124712 216818 238682 433636 477364 835387 867272 954728 1670774 2028797 3341548 4057594 6683096 8115188 14201579 16230376 28403158 56806316 113612632