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113429088 = 25321921091
BaseRepresentation
bin1101100001011…
…00101001100000
321220102210110100
412300230221200
5213014212323
615131102400
72545063023
oct660545140
9256383410
10113429088
1159033a53
1231ba1a00
131a666106
14110c91ba
159e58943
hex6c2ca60

113429088 has 108 divisors (see below), whose sum is σ = 340746588. Its totient is φ = 35786880.

The previous prime is 113429051. The next prime is 113429089. The reversal of 113429088 is 880924311.

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 (113429089) 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 17 ways as a sum of consecutive naturals, for example, 103423 + ... + 104513.

It is an arithmetic number, because the mean of its divisors is an integer number (3155061).

Almost surely, 2113429088 is an apocalyptic number.

113429088 is a gapful number since it is divisible by the number (18) 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 113429088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170373294).

113429088 is an abundant number, since it is smaller than the sum of its proper divisors (227317500).

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

113429088 is a wasteful number, since it uses less digits than its factorization.

113429088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 113429088 is about 10650.3092912835. The cubic root of 113429088 is about 484.0699759945.

It can be divided in two parts, 113 and 429088, that added together give a triangular number (429201 = T926).

The spelling of 113429088 in words is "one hundred thirteen million, four hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 361 456 608 684 722 912 1083 1091 1368 1444 1824 2166 2182 2736 2888 3249 3273 4332 4364 5472 5776 6498 6546 8664 8728 9819 11552 12996 13092 17328 17456 19638 20729 25992 26184 34656 34912 39276 41458 51984 52368 62187 78552 82916 103968 104736 124374 157104 165832 186561 248748 314208 331664 373122 393851 497496 663328 746244 787702 994992 1181553 1492488 1575404 1989984 2363106 2984976 3150808 3544659 4726212 5969952 6301616 7089318 9452424 12603232 14178636 18904848 28357272 37809696 56714544 113429088