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113068692 = 2232112101257
BaseRepresentation
bin1101011110101…
…00101010010100
321212202111002100
412233110222110
5212421144232
615115242100
72542032222
oct657245224
9255674070
10113068692
1158908200
1231a49330
131a56b069
1411033b12
159dd6c7c
hex6bd4a94

113068692 has 108 divisors (see below), whose sum is σ = 318502548. Its totient is φ = 33792000.

The previous prime is 113068691. The next prime is 113068763. The reversal of 113068692 is 296860311.

It can be written as a sum of positive squares in 2 ways, for example, as 110124036 + 2944656 = 10494^2 + 1716^2 .

It is a super-2 number, since 2×1130686922 = 25569058221181728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113068691) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 439828 + ... + 440084.

Almost surely, 2113068692 is an apocalyptic number.

113068692 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 113068692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159251274).

113068692 is an abundant number, since it is smaller than the sum of its proper divisors (205433856).

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

113068692 is a wasteful number, since it uses less digits than its factorization.

113068692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 113068692 is about 10633.3763217522. The cubic root of 113068692 is about 483.5567567398.

The spelling of 113068692 in words is "one hundred thirteen million, sixty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 121 132 198 202 242 257 303 363 396 404 484 514 606 726 771 909 1028 1089 1111 1212 1452 1542 1818 2178 2222 2313 2827 3084 3333 3636 4356 4444 4626 5654 6666 8481 9252 9999 11308 12221 13332 16962 19998 24442 25443 25957 31097 33924 36663 39996 48884 50886 51914 62194 73326 77871 93291 101772 103828 109989 124388 146652 155742 186582 219978 233613 279873 285527 311484 373164 439956 467226 559746 571054 856581 934452 1119492 1142108 1713162 2569743 3140797 3426324 5139486 6281594 9422391 10278972 12563188 18844782 28267173 37689564 56534346 113068692