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5490600960 = 210351331887
BaseRepresentation
bin1010001110100001…
…11110110000000000
3112011122112102120010
411013100332300000
542221043212320
62304454344520
7253030223655
oct50720766000
915148472503
105490600960
112368334849
12109295b140
136966a2810
143a12cbc2c
15222064ae0
hex14743ec00

5490600960 has 352 divisors, whose sum is σ = 19544297472. Its totient is φ = 1306460160.

The previous prime is 5490600953. The next prime is 5490600961. The reversal of 5490600960 is 690060945.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5490600961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6189637 + ... + 6190523.

Almost surely, 25490600960 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 5490600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9772148736).

5490600960 is an abundant number, since it is smaller than the sum of its proper divisors (14053696512).

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

5490600960 is a wasteful number, since it uses less digits than its factorization.

5490600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 5490600960 is about 74098.5894602590. The cubic root of 5490600960 is about 1764.1680826669.

The spelling of 5490600960 in words is "five billion, four hundred ninety million, six hundred thousand, nine hundred sixty".