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293113660 = 2257171071151
BaseRepresentation
bin10001011110001…
…000111100111100
3202102112201100111
4101132020330330
51100014114120
645030235404
710156265530
oct2136107474
9672481314
10293113660
111405006a4
12821b5b64
1348959548
142acddbc0
151aaed75a
hex11788f3c

293113660 has 96 divisors (see below), whose sum is σ = 752467968. Its totient is φ = 93619200.

The previous prime is 293113657. The next prime is 293113661. The reversal of 293113660 is 66311392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293113661) 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, 254085 + ... + 255235.

It is an arithmetic number, because the mean of its divisors is an integer number (7838208).

Almost surely, 2293113660 is an apocalyptic number.

293113660 is a gapful number since it is divisible by the number (20) 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 293113660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376233984).

293113660 is an abundant number, since it is smaller than the sum of its proper divisors (459354308).

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

293113660 is a wasteful number, since it uses less digits than its factorization.

293113660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 293113660 is about 17120.5624907595. The cubic root of 293113660 is about 664.2710915852.

The spelling of 293113660 in words is "two hundred ninety-three million, one hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 107 119 140 170 214 238 340 428 476 535 595 749 1070 1151 1190 1498 1819 2140 2302 2380 2996 3638 3745 4604 5755 7276 7490 8057 9095 11510 12733 14980 16114 18190 19567 23020 25466 32228 36380 39134 40285 50932 63665 78268 80570 97835 123157 127330 136969 161140 195670 246314 254660 273938 391340 492628 547876 615785 684845 862099 1231570 1369690 1724198 2093669 2463140 2739380 3448396 4187338 4310495 8374676 8620990 10468345 14655683 17241980 20936690 29311366 41873380 58622732 73278415 146556830 293113660