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117434640 = 243517107269
BaseRepresentation
bin1101111111111…
…10100100010000
322011222022001010
412333332210100
5220030402030
615353010520
72624115021
oct677764420
9264868033
10117434640
116031a424
12333b3a40
131b43936b
141184cc48
15a49a6b0
hex6ffe910

117434640 has 160 divisors (see below), whose sum is σ = 390510720. Its totient is φ = 29089792.

The previous prime is 117434627. The next prime is 117434641. The reversal of 117434640 is 46434711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 117434598 and 117434607.

It is not an unprimeable number, because it can be changed into a prime (117434641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436426 + ... + 436694.

It is an arithmetic number, because the mean of its divisors is an integer number (2440692).

Almost surely, 2117434640 is an apocalyptic number.

117434640 is a gapful number since it is divisible by the number (10) 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 117434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195255360).

117434640 is an abundant number, since it is smaller than the sum of its proper divisors (273076080).

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

117434640 is a wasteful number, since it uses less digits than its factorization.

117434640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 117434640 is about 10836.7264429808. The cubic root of 117434640 is about 489.7022208496.

The spelling of 117434640 in words is "one hundred seventeen million, four hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 107 120 136 170 204 214 240 255 269 272 321 340 408 428 510 535 538 642 680 807 816 856 1020 1070 1076 1284 1345 1360 1605 1614 1712 1819 2040 2140 2152 2568 2690 3210 3228 3638 4035 4080 4280 4304 4573 5136 5380 5457 6420 6456 7276 8070 8560 9095 9146 10760 10914 12840 12912 13719 14552 16140 18190 18292 21520 21828 22865 25680 27285 27438 28783 29104 32280 36380 36584 43656 45730 54570 54876 57566 64560 68595 72760 73168 86349 87312 91460 109140 109752 115132 137190 143915 145520 172698 182920 218280 219504 230264 274380 287830 345396 365840 431745 436560 460528 489311 548760 575660 690792 863490 978622 1097520 1151320 1381584 1467933 1726980 1957244 2302640 2446555 2935866 3453960 3914488 4893110 5871732 6907920 7339665 7828976 9786220 11743464 14679330 19572440 23486928 29358660 39144880 58717320 117434640