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135313770 = 2355385103
BaseRepresentation
bin10000001000010…
…11100101101010
3100102121122121010
420010023211222
5234120020040
621232124350
73232101534
oct1004134552
9312548533
10135313770
116a421269
12393966b6
1322059327
1413d84854
15bd2ce80
hex810b96a

135313770 has 32 divisors (see below), whose sum is σ = 330884352. Its totient is φ = 35402432.

The previous prime is 135313769. The next prime is 135313777. The reversal of 135313770 is 77313531.

It is a super-2 number, since 2×1353137702 = 36619632703225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (135313777) 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 15 ways as a sum of consecutive naturals, for example, 40962 + ... + 44141.

It is an arithmetic number, because the mean of its divisors is an integer number (10340136).

Almost surely, 2135313770 is an apocalyptic number.

135313770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135313770 is an abundant number, since it is smaller than the sum of its proper divisors (195570582).

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

135313770 is a wasteful number, since it uses less digits than its factorization.

135313770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85166.

The product of its (nonzero) digits is 6615, while the sum is 30.

The square root of 135313770 is about 11632.4447129569. Note that the first 3 decimals coincide. The cubic root of 135313770 is about 513.3899128993.

The spelling of 135313770 in words is "one hundred thirty-five million, three hundred thirteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1590 85103 170206 255309 425515 510618 851030 1276545 2553090 4510459 9020918 13531377 22552295 27062754 45104590 67656885 135313770