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5940724680 = 23345111931283
BaseRepresentation
bin1011000100001100…
…00100001111001000
3120100000112002020000
411202012010033020
544131311142210
62421254203000
7300134220012
oct54206041710
916300462200
105940724680
112579425420
121199653460
13738a13907
14404dbd1b2
1524b829ac0
hex1621843c8

5940724680 has 640 divisors, whose sum is σ = 23752396800. Its totient is φ = 1315699200.

The previous prime is 5940724639. The next prime is 5940724687. The reversal of 5940724680 is 864270495.

It is a happy number.

It is a super-2 number, since 2×59407246802 = 70584419447122204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5940724687) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20991819 + ... + 20992101.

It is an arithmetic number, because the mean of its divisors is an integer number (37113120).

Almost surely, 25940724680 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 5940724680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11876198400).

5940724680 is an abundant number, since it is smaller than the sum of its proper divisors (17811672120).

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

5940724680 is a wasteful number, since it uses less digits than its factorization.

5940724680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5940724680 is about 77076.0966837320. The cubic root of 5940724680 is about 1811.1168671354.

The spelling of 5940724680 in words is "five billion, nine hundred forty million, seven hundred twenty-four thousand, six hundred eighty".