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135407340 = 22325752263
BaseRepresentation
bin10000001001000…
…10011011101100
3100102210101221200
420010202123230
5234131013330
621234125500
73232641405
oct1004423354
9312711850
10135407340
116a4855a2
1239420890
132208cab3
1413daa9ac
15bd4aa60
hex81226ec

135407340 has 36 divisors (see below), whose sum is σ = 410736144. Its totient is φ = 36108576.

The previous prime is 135407339. The next prime is 135407341. The reversal of 135407340 is 43704531.

135407340 is a `hidden beast` number, since 13 + 540 + 73 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (135407339) and next prime (135407341).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (135407341) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 375952 + ... + 376311.

Almost surely, 2135407340 is an apocalyptic number.

135407340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135407340 is an abundant number, since it is smaller than the sum of its proper divisors (275328804).

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

135407340 is a wasteful number, since it uses less digits than its factorization.

135407340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752278 (or 752273 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 135407340 is about 11636.4659583569. The cubic root of 135407340 is about 513.5082226756.

The spelling of 135407340 in words is "one hundred thirty-five million, four hundred seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 752263 1504526 2256789 3009052 3761315 4513578 6770367 7522630 9027156 11283945 13540734 15045260 22567890 27081468 33851835 45135780 67703670 135407340