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161358432 = 2532373079
BaseRepresentation
bin10011001111000…
…10001001100000
3102020121212011020
421213202021200
5312301432212
624002245440
73666344514
oct1147421140
9366555136
10161358432
118309aa84
1246056880
1327577b81
1417604144
15e274d8c
hex99e2260

161358432 has 48 divisors (see below), whose sum is σ = 441987840. Its totient is φ = 51446912.

The previous prime is 161358419. The next prime is 161358437. The reversal of 161358432 is 234853161.

161358432 is digitally balanced in base 3, 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 161358393 and 161358402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161358437) 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 7 ways as a sum of consecutive naturals, for example, 34332 + ... + 38747.

It is an arithmetic number, because the mean of its divisors is an integer number (9208080).

Almost surely, 2161358432 is an apocalyptic number.

161358432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

161358432 is an abundant number, since it is smaller than the sum of its proper divisors (280629408).

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

161358432 is a wasteful number, since it uses less digits than its factorization.

161358432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73115 (or 73107 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 161358432 is about 12702.6938875185. The cubic root of 161358432 is about 544.4155921712.

The spelling of 161358432 in words is "one hundred sixty-one million, three hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 73079 146158 219237 292316 438474 584632 876948 1169264 1680817 1753896 2338528 3361634 3507792 5042451 6723268 7015584 10084902 13446536 20169804 26893072 40339608 53786144 80679216 161358432