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2135904640 = 2753337351
BaseRepresentation
bin111111101001111…
…0101000110000000
312111212002012100021
41333103311012000
513333242422030
6551535503224
7103633614142
oct17723650600
95455065307
102135904640
119a6731851
124b7387b14
1328067c5cc
14163954c92
15c77aa97a
hex7f4f5180

2135904640 has 32 divisors (see below), whose sum is σ = 5106148560. Its totient is φ = 854361600.

The previous prime is 2135904623. The next prime is 2135904649. The reversal of 2135904640 is 464095312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2135904596 and 2135904605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135904649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1668036 + ... + 1669315.

Almost surely, 22135904640 is an apocalyptic number.

2135904640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135904640 is an abundant number, since it is smaller than the sum of its proper divisors (2970243920).

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

2135904640 is an equidigital number, since it uses as much as digits as its factorization.

2135904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337370 (or 3337358 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2135904640 is about 46215.8483639541. The cubic root of 2135904640 is about 1287.8361737544.

Adding to 2135904640 its reverse (464095312), we get a palindrome (2599999952).

The spelling of 2135904640 in words is "two billion, one hundred thirty-five million, nine hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3337351 6674702 13349404 16686755 26698808 33373510 53397616 66747020 106795232 133494040 213590464 266988080 427180928 533976160 1067952320 2135904640