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117544140 = 223257213327
BaseRepresentation
bin1110000000110…
…01010011001100
322012011212020200
413000121103030
5220042403030
615355213500
72625052200
oct700312314
9265155220
10117544140
116039471a
1233447290
131b47715c
141187ab00
15a4bcd60
hex70194cc

117544140 has 108 divisors (see below), whose sum is σ = 414794016. Its totient is φ = 26865216.

The previous prime is 117544129. The next prime is 117544177. The reversal of 117544140 is 41445711.

117544140 is a `hidden beast` number, since 117 + 544 + 1 + 4 + 0 = 666.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2157 + ... + 15483.

Almost surely, 2117544140 is an apocalyptic number.

117544140 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 117544140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207397008).

117544140 is an abundant number, since it is smaller than the sum of its proper divisors (297249876).

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

117544140 is a wasteful number, since it uses less digits than its factorization.

117544140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13356 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 117544140 is about 10841.7775295382. Note that the first 3 decimals coincide. The cubic root of 117544140 is about 489.8543784962.

Adding to 117544140 its reverse (41445711), we get a palindrome (158989851).

The spelling of 117544140 in words is "one hundred seventeen million, five hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 13327 26654 39981 53308 66635 79962 93289 119943 133270 159924 186578 199905 239886 266540 279867 373156 399810 466445 479772 559734 599715 653023 799620 839601 932890 1119468 1199430 1306046 1399335 1679202 1865780 1959069 2398860 2612092 2798670 3265115 3358404 3918138 4198005 5597340 5877207 6530230 7836276 8396010 9795345 11754414 13060460 16792020 19590690 23508828 29386035 39181380 58772070 117544140