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135939690 = 232512292
BaseRepresentation
bin10000001101001…
…00011001101010
3100110210110012100
420012210121222
5234300032230
621253354230
73240316425
oct1006443152
9313713170
10135939690
116a809557
1239638976
13222181b3
14140a89bc
15be03660
hex81a466a

135939690 has 36 divisors (see below), whose sum is σ = 353731014. Its totient is φ = 36221088.

The previous prime is 135939673. The next prime is 135939707. The reversal of 135939690 is 96939531.

It is an interprime number because it is at equal distance from previous prime (135939673) and next prime (135939707).

It can be written as a sum of positive squares in 3 ways, for example, as 130165281 + 5774409 = 11409^2 + 2403^2 .

It is a super-3 number, since 3×1359396903 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 109996 + ... + 111224.

Almost surely, 2135939690 is an apocalyptic number.

135939690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135939690 is an abundant number, since it is smaller than the sum of its proper divisors (217791324).

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

135939690 is an equidigital number, since it uses as much as digits as its factorization.

135939690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 135939690 is about 11659.3177330408. The cubic root of 135939690 is about 514.1802902291.

The spelling of 135939690 in words is "one hundred thirty-five million, nine hundred thirty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1229 2458 3687 6145 7374 11061 12290 18435 22122 36870 55305 110610 1510441 3020882 4531323 7552205 9062646 13593969 15104410 22656615 27187938 45313230 67969845 135939690