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117522405 = 325711132609
BaseRepresentation
bin1110000000100…
…11111111100101
322012010202102200
413000103333211
5220041204110
615354525113
72624631630
oct700237745
9265122380
10117522405
116037a360
1233436799
131b46a2b0
1411872c17
15a4b66c0
hex7013fe5

117522405 has 96 divisors (see below), whose sum is σ = 273611520. Its totient is φ = 45066240.

The previous prime is 117522337. The next prime is 117522421. The reversal of 117522405 is 504225711.

It is not a de Polignac number, because 117522405 - 29 = 117521893 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43741 + ... + 46349.

It is an arithmetic number, because the mean of its divisors is an integer number (2850120).

Almost surely, 2117522405 is an apocalyptic number.

117522405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117522405 is an abundant number, since it is smaller than the sum of its proper divisors (156089115).

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

117522405 is a wasteful number, since it uses less digits than its factorization.

117522405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 117522405 is about 10840.7751106644. The cubic root of 117522405 is about 489.8241837648.

The spelling of 117522405 in words is "one hundred seventeen million, five hundred twenty-two thousand, four hundred five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 143 165 195 231 273 315 385 429 455 495 585 693 715 819 1001 1155 1287 1365 2145 2609 3003 3465 4095 5005 6435 7827 9009 13045 15015 18263 23481 28699 33917 39135 45045 54789 86097 91315 101751 117405 143495 164367 169585 200893 237419 258291 273945 305253 373087 430485 508755 602679 712257 821835 1004465 1119261 1187095 1291455 1526265 1808037 1865435 2136771 2611609 3013395 3357783 3561285 5596305 7834827 9040185 10683855 13058045 16788915 23504481 39174135 117522405