Search a number
-
+
961643520 = 21032541509
BaseRepresentation
bin111001010100011…
…000010000000000
32111000111112220200
4321110120100000
53432140043040
6235231205200
732554556265
oct7124302000
92430445820
10961643520
11453906012
1222a076800
131242ca746
1491a0526c
1559656630
hex39518400

961643520 has 264 divisors, whose sum is σ = 3420045720. Its totient is φ = 249692160.

The previous prime is 961643519. The next prime is 961643521. The reversal of 961643520 is 25346169.

It is a happy number.

961643520 is a `hidden beast` number, since 9 + 6 + 1 + 643 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (961643519) and next prime (961643521).

It can be written as a sum of positive squares in 4 ways, for example, as 41370624 + 920272896 = 6432^2 + 30336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (961643521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889026 + ... + 1889534.

Almost surely, 2961643520 is an apocalyptic number.

961643520 is a gapful number since it is divisible by the number (90) 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 961643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710022860).

961643520 is an abundant number, since it is smaller than the sum of its proper divisors (2458402200).

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

961643520 is a wasteful number, since it uses less digits than its factorization.

961643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

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

The square root of 961643520 is about 31010.3776178234. The cubic root of 961643520 is about 987.0474627878.

Adding to 961643520 its reverse (25346169), we get a palindrome (986989689).

The spelling of 961643520 in words is "nine hundred sixty-one million, six hundred forty-three thousand, five hundred twenty".