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135600641 = 11191233277
BaseRepresentation
bin10000001010100…
…01101000000001
3100110011020002222
420011101220001
5234203210031
621242220425
73234405101
oct1005215001
9313136088
10135600641
116a5a7850
12394b4715
1322129a87
141401b201
15bd87e7b
hex8151a01

135600641 has 16 divisors (see below), whose sum is σ = 149879808. Its totient is φ = 121660800.

The previous prime is 135600637. The next prime is 135600649. The reversal of 135600641 is 146006531.

It is a cyclic number.

It is not a de Polignac number, because 135600641 - 22 = 135600637 is a prime.

It is a super-2 number, since 2×1356006412 = 36775067679221762, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135600641.

It is not an unprimeable number, because it can be changed into a prime (135600649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489395 + ... + 489671.

It is an arithmetic number, because the mean of its divisors is an integer number (9367488).

Almost surely, 2135600641 is an apocalyptic number.

135600641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135600641 is a deficient number, since it is larger than the sum of its proper divisors (14279167).

135600641 is a wasteful number, since it uses less digits than its factorization.

135600641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 135600641 is about 11644.7688255285. The cubic root of 135600641 is about 513.7524596982.

The spelling of 135600641 in words is "one hundred thirty-five million, six hundred thousand, six hundred forty-one".

Divisors: 1 11 191 233 277 2101 2563 3047 44503 52907 64541 489533 581977 709951 12327331 135600641