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113532354 = 23413313747
BaseRepresentation
bin1101100010001…
…01110111000010
321220122001010000
412301011313002
5213031013404
615133220430
72546003055
oct661056702
9256561100
10113532354
11590a45a1
1232031716
131a6a1110
1411114a9c
159e79339
hex6c45dc2

113532354 has 160 divisors (see below), whose sum is σ = 296626176. Its totient is φ = 32192640.

The previous prime is 113532283. The next prime is 113532359. The reversal of 113532354 is 453235311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113532359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2415559 + ... + 2415605.

Almost surely, 2113532354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113532354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148313088).

113532354 is an abundant number, since it is smaller than the sum of its proper divisors (183093822).

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

113532354 is a wasteful number, since it uses less digits than its factorization.

113532354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 113532354 is about 10655.1562165930. The cubic root of 113532354 is about 484.2168307652.

Adding to 113532354 its reverse (453235311), we get a palindrome (566767665).

It can be divided in two parts, 1135 and 32354, that added together give a square (33489 = 1832).

The spelling of 113532354 in words is "one hundred thirteen million, five hundred thirty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 37 39 47 54 62 74 78 81 93 94 111 117 141 162 186 222 234 279 282 333 351 403 423 481 558 611 666 702 806 837 846 962 999 1053 1147 1209 1222 1269 1443 1457 1674 1739 1833 1998 2106 2294 2418 2511 2538 2886 2914 2997 3441 3478 3627 3666 3807 4329 4371 5022 5217 5499 5994 6882 7254 7614 8658 8742 10323 10434 10881 10998 12987 13113 14911 15651 16497 18941 20646 21762 22607 25974 26226 29822 30969 31302 32643 32994 37882 38961 39339 44733 45214 46953 49491 53909 56823 61938 65286 67821 77922 78678 89466 92907 93906 98982 107818 113646 118017 134199 135642 140859 161727 170469 185814 203463 236034 268398 281718 323454 340938 402597 406926 485181 511407 610389 700817 805194 970362 1022814 1207791 1220778 1401634 1455543 1534221 1831167 2102451 2415582 2911086 3068442 3662334 4204902 4366629 6307353 8733258 12614706 18922059 37844118 56766177 113532354