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5902122240 = 28335731787
BaseRepresentation
bin1010111111100101…
…10011110100000000
3120020022212212122000
411133302303310000
544041420402430
62413354544000
7266155132320
oct53762636400
916208785560
105902122240
112559659883
121188738000
13730a19231
143ddc11280
15248251e60
hex15fcb3d00

5902122240 has 576 divisors, whose sum is σ = 24739921920. Its totient is φ = 1303879680.

The previous prime is 5902122221. The next prime is 5902122269. The reversal of 5902122240 is 422212095.

It is a happy number.

5902122240 is a `hidden beast` number, since 590 + 2 + 12 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7499127 + ... + 7499913.

Almost surely, 25902122240 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 5902122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369960960).

5902122240 is an abundant number, since it is smaller than the sum of its proper divisors (18837799680).

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

5902122240 is a wasteful number, since it uses less digits than its factorization.

5902122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5902122240 is about 76825.2708423472. The cubic root of 5902122240 is about 1807.1854999375.

It can be divided in two parts, 590 and 2122240, that added together give a triangular number (2122830 = T2060).

The spelling of 5902122240 in words is "five billion, nine hundred two million, one hundred twenty-two thousand, two hundred forty".