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2700137680 = 24533751721
BaseRepresentation
bin1010000011110000…
…1101010011010000
320222011210012120021
42200330031103100
521012213401210
61123533153224
7123624535342
oct24074152320
96864705507
102700137680
111166180449
1263432b814
13340534306
141b886b292
1510c0b0bda
hexa0f0d4d0

2700137680 has 20 divisors (see below), whose sum is σ = 6277820292. Its totient is φ = 1080055040.

The previous prime is 2700137677. The next prime is 2700137707. The reversal of 2700137680 is 867310072.

It can be written as a sum of positive squares in 2 ways, for example, as 383063184 + 2317074496 = 19572^2 + 48136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×27001376803 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16875781 + ... + 16875940.

Almost surely, 22700137680 is an apocalyptic number.

2700137680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2700137680 is an abundant number, since it is smaller than the sum of its proper divisors (3577682612).

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

2700137680 is a wasteful number, since it uses less digits than its factorization.

2700137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33751734 (or 33751728 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 2700137680 is about 51962.8490365954. The cubic root of 2700137680 is about 1392.5003183464.

The spelling of 2700137680 in words is "two billion, seven hundred million, one hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 33751721 67503442 135006884 168758605 270013768 337517210 540027536 675034420 1350068840 2700137680