[go: up one dir, main page]

Search a number
-
+
169028832 = 2537235933
BaseRepresentation
bin10100001001100…
…10110011100000
3102210001112222010
422010302303200
5321232410312
624434512520
74121502300
oct1204626340
9383045863
10169028832
1187459955
1248735740
132903227b
141863d600
15ec8c93c
hexa132ce0

169028832 has 72 divisors (see below), whose sum is σ = 516155976. Its totient is φ = 48292608.

The previous prime is 169028831. The next prime is 169028837. The reversal of 169028832 is 238820961.

It is a happy number.

169028832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169028831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13263 + ... + 22670.

It is an arithmetic number, because the mean of its divisors is an integer number (7168833).

Almost surely, 2169028832 is an apocalyptic number.

169028832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

169028832 is an abundant number, since it is smaller than the sum of its proper divisors (347127144).

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

169028832 is a wasteful number, since it uses less digits than its factorization.

169028832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35960 (or 35945 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 169028832 is about 13001.1088757844. The cubic root of 169028832 is about 552.9089205338.

The spelling of 169028832 in words is "one hundred sixty-nine million, twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 35933 71866 107799 143732 215598 251531 287464 431196 503062 574928 754593 862392 1006124 1149856 1509186 1724784 1760717 2012248 3018372 3449568 3521434 4024496 5282151 6036744 7042868 8048992 10564302 12073488 14085736 21128604 24146976 28171472 42257208 56342944 84514416 169028832