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113248692 = 223671547
BaseRepresentation
bin1101100000000…
…00100110110100
321220002122000000
412300000212310
5212442424232
615123151300
72543412054
oct660004664
9256078000
10113248692
1158a20467
1231b15530
131a601c7b
141107d564
159e2027c
hex6c009b4

113248692 has 84 divisors (see below), whose sum is σ = 301877856. Its totient is φ = 37149840.

The previous prime is 113248691. The next prime is 113248697. The reversal of 113248692 is 296842311.

It is a super-3 number, since 3×1132486923 (a number of 25 digits) contains 333 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 (113248691) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 206763 + ... + 207309.

It is an arithmetic number, because the mean of its divisors is an integer number (3593784).

Almost surely, 2113248692 is an apocalyptic number.

113248692 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 113248692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150938928).

113248692 is an abundant number, since it is smaller than the sum of its proper divisors (188629164).

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

113248692 is an equidigital number, since it uses as much as digits as its factorization.

113248692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 623 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 113248692 is about 10641.8368715180. The cubic root of 113248692 is about 483.8132205098.

The spelling of 113248692 in words is "one hundred thirteen million, two hundred forty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 243 284 324 426 486 547 639 729 852 972 1094 1278 1458 1641 1917 2188 2556 2916 3282 3834 4923 5751 6564 7668 9846 11502 14769 17253 19692 23004 29538 34506 38837 44307 51759 59076 69012 77674 88614 103518 116511 132921 155348 177228 207036 233022 265842 349533 398763 466044 531684 699066 797526 1048599 1398132 1595052 2097198 3145797 4194396 6291594 9437391 12583188 18874782 28312173 37749564 56624346 113248692