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135474640 = 2457241919
BaseRepresentation
bin10000001001100…
…10110111010000
3100102220211021021
420010302313100
5234140142030
621235405224
73233341540
oct1004626720
9312824237
10135474640
116a521114
1239453814
13220b4612
1413dc7320
15bd6097a
hex8132dd0

135474640 has 40 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 46448256.

The previous prime is 135474637. The next prime is 135474653. The reversal of 135474640 is 46474531.

135474640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 135474596 and 135474605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120400 + ... + 121519.

It is an arithmetic number, because the mean of its divisors is an integer number (8999424).

Almost surely, 2135474640 is an apocalyptic number.

135474640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135474640 is an abundant number, since it is smaller than the sum of its proper divisors (224502320).

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

135474640 is a wasteful number, since it uses less digits than its factorization.

135474640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241939 (or 241933 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 135474640 is about 11639.3573705768. The cubic root of 135474640 is about 513.5932830066.

The spelling of 135474640 in words is "one hundred thirty-five million, four hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 241919 483838 967676 1209595 1693433 1935352 2419190 3386866 3870704 4838380 6773732 8467165 9676760 13547464 16934330 19353520 27094928 33868660 67737320 135474640