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293020080 = 24351220917
BaseRepresentation
bin10001011101110…
…010000110110000
3202102100221222120
4101131302012300
51100003120310
645024234240
710155425643
oct2135620660
9672327876
10293020080
11140447361
128216b980
1348925a82
142acb7a5a
151aad0b70
hex117721b0

293020080 has 40 divisors (see below), whose sum is σ = 908362992. Its totient is φ = 78138624.

The previous prime is 293020061. The next prime is 293020163. The reversal of 293020080 is 80020392.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 293020080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610219 + ... + 610698.

Almost surely, 2293020080 is an apocalyptic number.

293020080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

293020080 is an abundant number, since it is smaller than the sum of its proper divisors (615342912).

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

293020080 is a wasteful number, since it uses less digits than its factorization.

293020080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220933 (or 1220927 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 293020080 is about 17117.8293016375. The cubic root of 293020080 is about 664.2003919287.

The spelling of 293020080 in words is "two hundred ninety-three million, twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1220917 2441834 3662751 4883668 6104585 7325502 9767336 12209170 14651004 18313755 19534672 24418340 29302008 36627510 48836680 58604016 73255020 97673360 146510040 293020080