Search a number
-
+
1665090432 = 2735174767
BaseRepresentation
bin110001100111111…
…0100001110000000
311022001011100200000
41203033310032000
511402230343212
6433120400000
756156015025
oct14317641600
94261140600
101665090432
1178499a0a5
123a5776000
13206c75a15
1411b1d954c
159b2aa1dc
hex633f4380

1665090432 has 384 divisors, whose sum is σ = 5453360640. Its totient is φ = 503635968.

The previous prime is 1665090421. The next prime is 1665090433. The reversal of 1665090432 is 2340905661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16650904322 = 5545052293475893248, which contains 22 as substring.

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 (1665090433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24852063 + ... + 24852129.

It is an arithmetic number, because the mean of its divisors is an integer number (14201460).

Almost surely, 21665090432 is an apocalyptic number.

1665090432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1665090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726680320).

1665090432 is an abundant number, since it is smaller than the sum of its proper divisors (3788270208).

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

1665090432 is an equidigital number, since it uses as much as digits as its factorization.

1665090432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1665090432 is about 40805.5196266387. The cubic root of 1665090432 is about 1185.2572170372.

The spelling of 1665090432 in words is "one billion, six hundred sixty-five million, ninety thousand, four hundred thirty-two".