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135683730 = 232571316567
BaseRepresentation
bin10000001011001…
…01111010010010
3100110022110002100
420011211322102
5234213334410
621244101230
73235202250
oct1005457222
9313273070
10135683730
116a654216
1239534816
1322158840
141403d5d0
15bda28c0
hex8165e92

135683730 has 96 divisors (see below), whose sum is σ = 434214144. Its totient is φ = 28626048.

The previous prime is 135683711. The next prime is 135683813. The reversal of 135683730 is 37386531.

It is a super-3 number, since 3×1356837303 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94 + ... + 16473.

It is an arithmetic number, because the mean of its divisors is an integer number (4523064).

Almost surely, 2135683730 is an apocalyptic number.

135683730 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 135683730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217107072).

135683730 is an abundant number, since it is smaller than the sum of its proper divisors (298530414).

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

135683730 is a wasteful number, since it uses less digits than its factorization.

135683730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16600 (or 16597 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 135683730 is about 11648.3359326558. The cubic root of 135683730 is about 513.8573718430.

It can be divided in two parts, 135 and 683730, that added together give a triangular number (683865 = T1169).

The spelling of 135683730 in words is "one hundred thirty-five million, six hundred eighty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 16567 33134 49701 82835 99402 115969 149103 165670 215371 231938 248505 298206 347907 430742 497010 579845 646113 695814 745515 1043721 1076855 1159690 1292226 1491030 1507597 1739535 1938339 2087442 2153710 3015194 3230565 3479070 3876678 4522791 5218605 6461130 7537985 9045582 9691695 10437210 13568373 15075970 19383390 22613955 27136746 45227910 67841865 135683730