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235254120 = 23352385237
BaseRepresentation
bin11100000010110…
…11000101101000
3121101200010222120
432001123011220
5440211112440
635202151240
75554425033
oct1601330550
9541603876
10235254120
111108819a2
1266952520
133997b92a
142335c01a
15159bedd0
hexe05b168

235254120 has 64 divisors (see below), whose sum is σ = 736456320. Its totient is φ = 60006144.

The previous prime is 235254091. The next prime is 235254137. The reversal of 235254120 is 21452532.

235254120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39859 + ... + 45378.

It is an arithmetic number, because the mean of its divisors is an integer number (11507130).

Almost surely, 2235254120 is an apocalyptic number.

235254120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235254120 is an abundant number, since it is smaller than the sum of its proper divisors (501202200).

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

235254120 is a wasteful number, since it uses less digits than its factorization.

235254120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85274 (or 85270 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 235254120 is about 15337.9959577515. The cubic root of 235254120 is about 617.3229354587.

The spelling of 235254120 in words is "two hundred thirty-five million, two hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 85237 170474 255711 340948 426185 511422 681896 852370 1022844 1278555 1704740 1960451 2045688 2557110 3409480 3920902 5114220 5881353 7841804 9802255 10228440 11762706 15683608 19604510 23525412 29406765 39209020 47050824 58813530 78418040 117627060 235254120