Search a number
-
+
253791420 = 223531136447
BaseRepresentation
bin11110010000010…
…00110010111100
3122200112221101020
433020020302330
51004432311140
641103344140
76201122451
oct1710106274
9580487336
10253791420
11120293283
1270bb2050
134076c34c
14259c5828
15174326d0
hexf208cbc

253791420 has 48 divisors (see below), whose sum is σ = 733544448. Its totient is φ = 65494080.

The previous prime is 253791367. The next prime is 253791427. The reversal of 253791420 is 24197352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253791427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66364 + ... + 70083.

It is an arithmetic number, because the mean of its divisors is an integer number (15282176).

Almost surely, 2253791420 is an apocalyptic number.

253791420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253791420 is an abundant number, since it is smaller than the sum of its proper divisors (479753028).

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

253791420 is a wasteful number, since it uses less digits than its factorization.

253791420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136490 (or 136488 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 253791420 is about 15930.8323699674. The cubic root of 253791420 is about 633.1291536339.

The spelling of 253791420 in words is "two hundred fifty-three million, seven hundred ninety-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 136447 272894 409341 545788 682235 818682 1364470 1637364 2046705 2728940 4093410 4229857 8186820 8459714 12689571 16919428 21149285 25379142 42298570 50758284 63447855 84597140 126895710 253791420