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293112420 = 223519125577
BaseRepresentation
bin10001011110001…
…000101001100100
3202102112122122120
4101132020221210
51100014044140
645030225540
710156262106
oct2136105144
9672478576
10293112420
111404aa777
12821b52b0
1348958b03
142acdd576
151aaed1d0
hex11788a64

293112420 has 48 divisors (see below), whose sum is σ = 825043968. Its totient is φ = 77751040.

The previous prime is 293112401. The next prime is 293112427. The reversal of 293112420 is 24211392.

It is not an unprimeable number, because it can be changed into a prime (293112427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329 + ... + 24248.

It is an arithmetic number, because the mean of its divisors is an integer number (17188416).

Almost surely, 2293112420 is an apocalyptic number.

293112420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

293112420 is an abundant number, since it is smaller than the sum of its proper divisors (531931548).

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

293112420 is a wasteful number, since it uses less digits than its factorization.

293112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25780 (or 25778 counting only the distinct ones).

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

The square root of 293112420 is about 17120.5262769577. The cubic root of 293112420 is about 664.2701548641.

It can be divided in two parts, 2931 and 12420, that added together give a palindrome (15351).

The spelling of 293112420 in words is "two hundred ninety-three million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 573 764 955 1146 1910 2292 2865 3820 5730 11460 25577 51154 76731 102308 127885 153462 255770 306924 383655 511540 767310 1534620 4885207 9770414 14655621 19540828 24426035 29311242 48852070 58622484 73278105 97704140 146556210 293112420