Search a number
-
+
293052120 = 233517143653
BaseRepresentation
bin10001011101111…
…001111011011000
3202102102120221020
4101131321323120
51100010131440
645025042440
710155621234
oct2135717330
9672376836
10293052120
11140469439
1282186420
134893752a
142acc55c4
151aada3d0
hex11779ed8

293052120 has 64 divisors (see below), whose sum is σ = 930877920. Its totient is φ = 73549824.

The previous prime is 293052107. The next prime is 293052241. The reversal of 293052120 is 21250392.

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

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, 69787 + ... + 73866.

Almost surely, 2293052120 is an apocalyptic number.

293052120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

293052120 is an abundant number, since it is smaller than the sum of its proper divisors (637825800).

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

293052120 is a wasteful number, since it uses less digits than its factorization.

293052120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143684 (or 143680 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 293052120 is about 17118.7651423810. The cubic root of 293052120 is about 664.2245998316.

The spelling of 293052120 in words is "two hundred ninety-three million, fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 143653 287306 430959 574612 718265 861918 1149224 1436530 1723836 2154795 2442101 2873060 3447672 4309590 4884202 5746120 7326303 8619180 9768404 12210505 14652606 17238360 19536808 24421010 29305212 36631515 48842020 58610424 73263030 97684040 146526060 293052120