Search a number
-
+
113010696 = 233217127727
BaseRepresentation
bin1101011110001…
…10100000001000
321212122112112100
412233012200020
5212412320241
615114113400
72541401151
oct657064010
9255575470
10113010696
1158878677
1231a1b860
131a54a846
141101a928
159dc49b6
hex6bc6808

113010696 has 96 divisors (see below), whose sum is σ = 327075840. Its totient is φ = 35126784.

The previous prime is 113010683. The next prime is 113010697. The reversal of 113010696 is 696010311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113010697) by changing a digit.

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, 155085 + ... + 155811.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 2113010696 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 113010696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

113010696 is an abundant number, since it is smaller than the sum of its proper divisors (214065144).

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

113010696 is a wasteful number, since it uses less digits than its factorization.

113010696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 113010696 is about 10630.6488983505. The cubic root of 113010696 is about 483.4740661398.

The spelling of 113010696 in words is "one hundred thirteen million, ten thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 127 136 153 204 254 306 381 408 508 612 727 762 1016 1143 1224 1454 1524 2159 2181 2286 2908 3048 4318 4362 4572 5816 6477 6543 8636 8724 9144 12359 12954 13086 17272 17448 19431 24718 25908 26172 37077 38862 49436 51816 52344 74154 77724 92329 98872 111231 148308 155448 184658 222462 276987 296616 369316 444924 553974 738632 830961 889848 1107948 1569593 1661922 2215896 3139186 3323844 4708779 6278372 6647688 9417558 12556744 14126337 18835116 28252674 37670232 56505348 113010696