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135572240 = 2454141333
BaseRepresentation
bin10000001010010…
…10101100010000
3100110002210011002
420011022230100
5234201302430
621241441132
73234226226
oct1005125420
9313083132
10135572240
116a588481
12394a01a8
1322119b7b
1414010b16
15bd7e845
hex814ab10

135572240 has 40 divisors (see below), whose sum is σ = 322901208. Its totient is φ = 52904960.

The previous prime is 135572233. The next prime is 135572279. The reversal of 135572240 is 42275531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13337104 + 122235136 = 3652^2 + 11056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17387 + ... + 23946.

Almost surely, 2135572240 is an apocalyptic number.

135572240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135572240 is an abundant number, since it is smaller than the sum of its proper divisors (187328968).

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

135572240 is a wasteful number, since it uses less digits than its factorization.

135572240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41387 (or 41381 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 135572240 is about 11643.5492870516. The cubic root of 135572240 is about 513.7165894095.

The spelling of 135572240 in words is "one hundred thirty-five million, five hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 41333 82666 165332 206665 330664 413330 661328 826660 1653320 1694653 3306640 3389306 6778612 8473265 13557224 16946530 27114448 33893060 67786120 135572240