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135034710 = 23519241983
BaseRepresentation
bin10000000110001…
…11011101010110
3100102002110210120
420003013131112
5234032102320
621222132410
73226530126
oct1003073526
9312073716
10135034710
116a250638
1239281106
1321c8c2c5
1413d10c86
15bcc5440
hex80c7756

135034710 has 64 divisors (see below), whose sum is σ = 342904320. Its totient is φ = 33937920.

The previous prime is 135034699. The next prime is 135034717. The reversal of 135034710 is 17430531.

It is a super-3 number, since 3×1350347103 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135034717) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 136879 + ... + 137861.

It is an arithmetic number, because the mean of its divisors is an integer number (5357880).

Almost surely, 2135034710 is an apocalyptic number.

135034710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135034710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171452160).

135034710 is an abundant number, since it is smaller than the sum of its proper divisors (207869610).

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

135034710 is a wasteful number, since it uses less digits than its factorization.

135034710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 135034710 is about 11620.4436232013. The cubic root of 135034710 is about 513.0367456171.

The spelling of 135034710 in words is "one hundred thirty-five million, thirty-four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 241 285 482 570 723 983 1205 1446 1966 2410 2949 3615 4579 4915 5898 7230 9158 9830 13737 14745 18677 22895 27474 29490 37354 45790 56031 68685 93385 112062 137370 186770 236903 280155 473806 560310 710709 1184515 1421418 2369030 3553545 4501157 7107090 9002314 13503471 22505785 27006942 45011570 67517355 135034710