Search a number
-
+
185490324 = 22343715473
BaseRepresentation
bin10110000111001…
…01101110010100
3110221000212220000
423003211232110
5334441142244
630223411300
74411433055
oct1303455624
9427025800
10185490324
1195782698
1252153b30
132c576bb6
141a8c672c
1511440169
hexb0e5b94

185490324 has 60 divisors (see below), whose sum is σ = 498046164. Its totient is φ = 60155136.

The previous prime is 185490323. The next prime is 185490353. The reversal of 185490324 is 423094581.

185490324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126967824 + 58522500 = 11268^2 + 7650^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185490323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4252 + ... + 19724.

Almost surely, 2185490324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185490324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249023082).

185490324 is an abundant number, since it is smaller than the sum of its proper divisors (312555840).

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

185490324 is a wasteful number, since it uses less digits than its factorization.

185490324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15526 (or 15515 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 185490324 is about 13619.4832501090. The cubic root of 185490324 is about 570.3048784505.

The spelling of 185490324 in words is "one hundred eighty-five million, four hundred ninety thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 15473 30946 46419 61892 92838 139257 185676 278514 417771 557028 572501 835542 1145002 1253313 1671084 1717503 2290004 2506626 3435006 5013252 5152509 6870012 10305018 15457527 20610036 30915054 46372581 61830108 92745162 185490324