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13135770 = 234516217
BaseRepresentation
bin110010000110…
…111110011010
3220201100220000
4302012332122
511330321040
61145313430
7216436464
oct62067632
926640800
1013135770
11746210a
124495876
13294bc5b
141a5d134
151247130
hexc86f9a

13135770 has 40 divisors (see below), whose sum is σ = 35322804. Its totient is φ = 3502656.

The previous prime is 13135739. The next prime is 13135789. The reversal of 13135770 is 7753131.

It can be written as a sum of positive squares in 2 ways, for example, as 13024881 + 110889 = 3609^2 + 333^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7299 + ... + 8918.

Almost surely, 213135770 is an apocalyptic number.

13135770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13135770 is an abundant number, since it is smaller than the sum of its proper divisors (22187034).

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

13135770 is a wasteful number, since it uses less digits than its factorization.

13135770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16236 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 13135770 is about 3624.3302829626. The cubic root of 13135770 is about 235.9492014576.

The spelling of 13135770 in words is "thirteen million, one hundred thirty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 16217 32434 48651 81085 97302 145953 162170 243255 291906 437859 486510 729765 875718 1313577 1459530 2189295 2627154 4378590 6567885 13135770