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2072980638 = 232563204557
BaseRepresentation
bin111101110001111…
…0010110010011110
312100110200022211200
41323203302302132
513221140340023
6541411100330
7102241021221
oct17343626236
95313608750
102072980638
11974164043
1249a2a16a6
1327061a781
141594555b8
15c1ecb743
hex7b8f2c9e

2072980638 has 24 divisors (see below), whose sum is σ = 4499457768. Its totient is φ = 689762832.

The previous prime is 2072980627. The next prime is 2072980643. The reversal of 2072980638 is 8360892702.

2072980638 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 9 + 8 + 0 + 638 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2072980593 and 2072980602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92145 + ... + 112412.

It is an arithmetic number, because the mean of its divisors is an integer number (187477407).

Almost surely, 22072980638 is an apocalyptic number.

2072980638 is an abundant number, since it is smaller than the sum of its proper divisors (2426477130).

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

2072980638 is a wasteful number, since it uses less digits than its factorization.

2072980638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205128 (or 205125 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2072980638 is about 45529.9971227761. The cubic root of 2072980638 is about 1275.0633085058.

The spelling of 2072980638 in words is "two billion, seventy-two million, nine hundred eighty thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 563 1126 1689 3378 5067 10134 204557 409114 613671 1227342 1841013 3682026 115165591 230331182 345496773 690993546 1036490319 2072980638