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2077575340 = 225122984523
BaseRepresentation
bin111101111010101…
…0100100010101100
312100210022202120211
41323311110202230
513223324402330
6542053352204
7102325045651
oct17365244254
95323282524
102077575340
11976812115
1249b938664
13271568c29
14159ccdc28
15c25d7d2a
hex7bd548ac

2077575340 has 24 divisors (see below), whose sum is σ = 4366509840. Its totient is φ = 830344128.

The previous prime is 2077575337. The next prime is 2077575371. The reversal of 2077575340 is 435757702.

It is a happy number.

It is a super-2 number, since 2×20775753402 = 8632638586752231200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2077575293 and 2077575302.

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, 17682 + ... + 66841.

It is an arithmetic number, because the mean of its divisors is an integer number (181937910).

Almost surely, 22077575340 is an apocalyptic number.

2077575340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2077575340 is an abundant number, since it is smaller than the sum of its proper divisors (2288934500).

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

2077575340 is a wasteful number, since it uses less digits than its factorization.

2077575340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85761 (or 85759 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 40.

The square root of 2077575340 is about 45580.4271590340. The cubic root of 2077575340 is about 1276.0046604128.

The spelling of 2077575340 in words is "two billion, seventy-seven million, five hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1229 2458 4916 6145 12290 24580 84523 169046 338092 422615 845230 1690460 103878767 207757534 415515068 519393835 1038787670 2077575340