Search a number
-
+
231520128 = 273786131
BaseRepresentation
bin11011100110010…
…11011110000000
3121010122102220120
431303023132000
5433232121003
634550140240
75510613540
oct1563133600
9533572816
10231520128
11109761554
1265651680
1338c72178
1422a69320
15154d3853
hexdccb780

231520128 has 64 divisors (see below), whose sum is σ = 702837120. Its totient is φ = 66147840.

The previous prime is 231520097. The next prime is 231520129. The reversal of 231520128 is 821025132.

231520128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 231520098 and 231520107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231520129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40378 + ... + 45753.

It is an arithmetic number, because the mean of its divisors is an integer number (10981830).

Almost surely, 2231520128 is an apocalyptic number.

231520128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

231520128 is an abundant number, since it is smaller than the sum of its proper divisors (471316992).

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

231520128 is an equidigital number, since it uses as much as digits as its factorization.

231520128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86155 (or 86143 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 231520128 is about 15215.7854874469. The cubic root of 231520128 is about 614.0394178699.

The spelling of 231520128 in words is "two hundred thirty-one million, five hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 86131 172262 258393 344524 516786 602917 689048 1033572 1205834 1378096 1808751 2067144 2411668 2756192 3617502 4134288 4823336 5512384 7235004 8268576 9646672 11024768 14470008 16537152 19293344 28940016 33074304 38586688 57880032 77173376 115760064 231520128