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969604020 = 223557112591
BaseRepresentation
bin111001110010101…
…111101110110100
32111120110222200000
4321302233232310
53441204312040
6240113551300
733012332610
oct7162575664
92446428600
10969604020
11458352940
12230875530
13125b56bb8
1492ab8340
155a1ca130
hex39cafbb4

969604020 has 288 divisors, whose sum is σ = 3804143616. Its totient is φ = 201398400.

The previous prime is 969604007. The next prime is 969604021. The reversal of 969604020 is 20406969.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (969604021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372925 + ... + 375515.

It is an arithmetic number, because the mean of its divisors is an integer number (13208832).

Almost surely, 2969604020 is an apocalyptic number.

969604020 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 969604020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902071808).

969604020 is an abundant number, since it is smaller than the sum of its proper divisors (2834539596).

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

969604020 is a wasteful number, since it uses less digits than its factorization.

969604020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 969604020 is about 31138.4652801001. The cubic root of 969604020 is about 989.7635799091.

The spelling of 969604020 in words is "nine hundred sixty-nine million, six hundred four thousand, twenty".