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2136205540 = 225729526159
BaseRepresentation
bin111111101010011…
…1110100011100100
312111212122111002201
41333110332203210
513333332034130
6551550144244
7103636306330
oct17724764344
95455574081
102136205540
119a6917927
124b74b2084
13280756561
141639d27c0
15c7819bca
hex7f53e8e4

2136205540 has 48 divisors (see below), whose sum is σ = 5303692800. Its totient is φ = 707156352.

The previous prime is 2136205537. The next prime is 2136205541. The reversal of 2136205540 is 455026312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2136205499 and 2136205508.

It is not an unprimeable number, because it can be changed into a prime (2136205541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 259020 + ... + 267139.

It is an arithmetic number, because the mean of its divisors is an integer number (110493600).

Almost surely, 22136205540 is an apocalyptic number.

2136205540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136205540 is an abundant number, since it is smaller than the sum of its proper divisors (3167487260).

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

2136205540 is a wasteful number, since it uses less digits than its factorization.

2136205540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526204 (or 526202 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2136205540 is about 46219.1036260982. The cubic root of 2136205540 is about 1287.8966464462.

The spelling of 2136205540 in words is "two billion, one hundred thirty-six million, two hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 526159 1052318 2104636 2630795 3683113 5261590 7366226 10523180 14732452 15258611 18415565 30517222 36831130 61034444 73662260 76293055 106810277 152586110 213620554 305172220 427241108 534051385 1068102770 2136205540