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1980059904 = 28341741137
BaseRepresentation
bin111011000000101…
…0101000100000000
312002222211110120000
41312001111010000
513023343404104
6524251320000
7100032142254
oct16601250400
95088743500
101980059904
11926768349
12473150000
132572b52a4
1414ad88264
15b8c74639
hex76055100

1980059904 has 360 divisors, whose sum is σ = 6450704568. Its totient is φ = 601620480.

The previous prime is 1980059899. The next prime is 1980059923. The reversal of 1980059904 is 4099500891.

It can be written as a sum of positive squares in 4 ways, for example, as 175509504 + 1804550400 = 13248^2 + 42480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1980059904.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14452924 + ... + 14453060.

Almost surely, 21980059904 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 1980059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225352284).

1980059904 is an abundant number, since it is smaller than the sum of its proper divisors (4470644664).

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

1980059904 is a wasteful number, since it uses less digits than its factorization.

1980059904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1980059904 is about 44497.8640386255. The cubic root of 1980059904 is about 1255.7198991334.

The spelling of 1980059904 in words is "one billion, nine hundred eighty million, fifty-nine thousand, nine hundred four".