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114335936 = 2611132312
BaseRepresentation
bin1101101000010…
…10000011000000
321222010212102022
412310022003000
5213232222221
615202341012
72555560631
oct664120300
9258125368
10114335936
11595a3310
123235a768
131a8c2b00
1411283888
15a0874ab
hex6d0a0c0

114335936 has 126 divisors (see below), whose sum is σ = 276939756. Its totient is φ = 46425600.

The previous prime is 114335929. The next prime is 114335971. The reversal of 114335936 is 639533411.

It is a junction number, because it is equal to n+sod(n) for n = 114335896 and 114335905.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3688241 + ... + 3688271.

Almost surely, 2114335936 is an apocalyptic number.

114335936 is a gapful number since it is divisible by the number (16) 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 114335936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138469878).

114335936 is an abundant number, since it is smaller than the sum of its proper divisors (162603820).

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

114335936 is a wasteful number, since it uses less digits than its factorization.

114335936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 57 counting only the distinct ones).

The product of its digits is 29160, while the sum is 35.

The square root of 114335936 is about 10692.7983241058. The cubic root of 114335936 is about 485.3565748507.

The spelling of 114335936 in words is "one hundred fourteen million, three hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 143 169 176 208 248 286 338 341 352 403 416 496 572 676 682 704 806 832 961 992 1144 1352 1364 1612 1859 1922 1984 2288 2704 2728 3224 3718 3844 4433 4576 5239 5408 5456 6448 7436 7688 8866 9152 10478 10571 10816 10912 12493 12896 14872 15376 17732 20956 21142 21824 24986 25792 29744 30752 35464 41912 42284 49972 57629 59488 61504 70928 83824 84568 99944 115258 118976 137423 141856 162409 167648 169136 199888 230516 274846 283712 324818 335296 338272 399776 461032 549692 649636 676544 799552 922064 1099384 1299272 1786499 1844128 2198768 2598544 3572998 3688256 4397536 5197088 7145996 8795072 10394176 14291992 28583984 57167968 114335936