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414170680 = 235711134471
BaseRepresentation
bin11000101011111…
…011111000111000
31001212100001100211
4120223323320320
51322011430210
6105033040504
713156251460
oct3053737070
91055301324
10414170680
111a2874620
12b6856134
1367a63611
143d012ba0
152656238a
hex18afbe38

414170680 has 64 divisors (see below), whose sum is σ = 1161838080. Its totient is φ = 129091200.

The previous prime is 414170671. The next prime is 414170699. The reversal of 414170680 is 86071414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64156 + ... + 70315.

It is an arithmetic number, because the mean of its divisors is an integer number (18153720).

Almost surely, 2414170680 is an apocalyptic number.

414170680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414170680 is an abundant number, since it is smaller than the sum of its proper divisors (747667400).

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

414170680 is a wasteful number, since it uses less digits than its factorization.

414170680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134500 (or 134496 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 414170680 is about 20351.1837493547. The cubic root of 414170680 is about 745.4063995909.

The spelling of 414170680 in words is "four hundred fourteen million, one hundred seventy thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 134471 268942 537884 672355 941297 1075768 1344710 1479181 1882594 2689420 2958362 3765188 4706485 5378840 5916724 7395905 7530376 9412970 10354267 11833448 14791810 18825940 20708534 29583620 37651880 41417068 51771335 59167240 82834136 103542670 207085340 414170680