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3989114640 = 2432574191889
BaseRepresentation
bin1110110111000101…
…0000111100010000
3101022000020000112200
43231301100330100
531132203132030
61455500323200
7200565625560
oct35561207420
911260200480
103989114640
111767829965
12933b43500
134b75acb84
1429bb1cda0
15185324d60
hexedc50f10

3989114640 has 240 divisors, whose sum is σ = 15355267200. Its totient is φ = 909139968.

The previous prime is 3989114629. The next prime is 3989114653. The reversal of 3989114640 is 464119893.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×39891146402 = 31826071222124659200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2110816 + ... + 2112704.

It is an arithmetic number, because the mean of its divisors is an integer number (63980280).

Almost surely, 23989114640 is an apocalyptic number.

3989114640 is a gapful number since it is divisible by the number (30) 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 3989114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7677633600).

3989114640 is an abundant number, since it is smaller than the sum of its proper divisors (11366152560).

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

3989114640 is a wasteful number, since it uses less digits than its factorization.

3989114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3989114640 is about 63159.4382495601. The cubic root of 3989114640 is about 1585.9597911300.

The spelling of 3989114640 in words is "three billion, nine hundred eighty-nine million, one hundred fourteen thousand, six hundred forty".