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293327140 = 22573200909
BaseRepresentation
bin10001011110111…
…101000100100100
3202102221120012011
4101132331010210
51100042432030
645035004004
710161145111
oct2136750444
9672846164
10293327140
11140637027
1282299604
1348a02772
142ad57908
151ab41b2a
hex117bd124

293327140 has 24 divisors (see below), whose sum is σ = 624428280. Its totient is φ = 115723008.

The previous prime is 293327137. The next prime is 293327143. The reversal of 293327140 is 41723392.

It is an interprime number because it is at equal distance from previous prime (293327137) and next prime (293327143).

It can be written as a sum of positive squares in 4 ways, for example, as 6431296 + 286895844 = 2536^2 + 16938^2 .

It is a super-2 number, since 2×2933271402 = 172081622121159200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (293327143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98995 + ... + 101914.

It is an arithmetic number, because the mean of its divisors is an integer number (26017845).

Almost surely, 2293327140 is an apocalyptic number.

293327140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

293327140 is an abundant number, since it is smaller than the sum of its proper divisors (331101140).

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

293327140 is a wasteful number, since it uses less digits than its factorization.

293327140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200991 (or 200989 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 293327140 is about 17126.7959642193. The cubic root of 293327140 is about 664.4323193484.

The spelling of 293327140 in words is "two hundred ninety-three million, three hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 200909 401818 803636 1004545 2009090 4018180 14666357 29332714 58665428 73331785 146663570 293327140