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2053344540 = 2235132632493
BaseRepresentation
bin111101001100011…
…1000110100011100
312022002201201011210
41322120320310130
513201124011130
6535430144420
7101612066142
oct17230706434
95262651153
102053344540
11964072165
124937b2110
13269533b90
141569c3592
15c03ed5b0
hex7a638d1c

2053344540 has 48 divisors (see below), whose sum is σ = 6191625888. Its totient is φ = 505438464.

The previous prime is 2053344523. The next prime is 2053344569. The reversal of 2053344540 is 454433502.

2053344540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2053344498 and 2053344507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315467 + ... + 1317026.

It is an arithmetic number, because the mean of its divisors is an integer number (128992206).

Almost surely, 22053344540 is an apocalyptic number.

2053344540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2053344540 is an abundant number, since it is smaller than the sum of its proper divisors (4138281348).

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

2053344540 is a wasteful number, since it uses less digits than its factorization.

2053344540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632518 (or 2632516 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2053344540 is about 45313.8449041791. The cubic root of 2053344540 is about 1271.0245602078.

The spelling of 2053344540 in words is "two billion, fifty-three million, three hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2632493 5264986 7897479 10529972 13162465 15794958 26324930 31589916 34222409 39487395 52649860 68444818 78974790 102667227 136889636 157949580 171112045 205334454 342224090 410668908 513336135 684448180 1026672270 2053344540