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2137547980 = 225137780127
BaseRepresentation
bin111111101101000…
…0110010011001100
312111222011200120201
41333122012103030
513334203013410
6552035023244
7103653600211
oct17732062314
95458150521
102137547980
119a7654487
124b7a3ab24
13280b065b9
14163c61b08
15c79d283a
hex7f6864cc

2137547980 has 24 divisors (see below), whose sum is σ = 4521621888. Its totient is φ = 848777088.

The previous prime is 2137547927. The next prime is 2137547999. The reversal of 2137547980 is 897457312.

It is a super-2 number, since 2×21375479802 = 9138222733604160800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2137547980.

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 7 ways as a sum of consecutive naturals, for example, 387324 + ... + 392803.

It is an arithmetic number, because the mean of its divisors is an integer number (188400912).

Almost surely, 22137547980 is an apocalyptic number.

2137547980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137547980 is an abundant number, since it is smaller than the sum of its proper divisors (2384073908).

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

2137547980 is a wasteful number, since it uses less digits than its factorization.

2137547980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780273 (or 780271 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 2137547980 is about 46233.6239116079. The cubic root of 2137547980 is about 1288.1663711056.

The spelling of 2137547980 in words is "two billion, one hundred thirty-seven million, five hundred forty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 780127 1560254 3120508 3900635 7801270 15602540 106877399 213754798 427509596 534386995 1068773990 2137547980