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135592740 = 223251941967
BaseRepresentation
bin10000001010011…
…11101100100100
3100110010211021100
420011033230210
5234202431430
621242120100
73234343053
oct1005175444
9313124240
10135592740
116a5a1918
12394b0030
13221262ba
141401839a
15bd85960
hex814fb24

135592740 has 144 divisors (see below), whose sum is σ = 443963520. Its totient is φ = 33384960.

The previous prime is 135592739. The next prime is 135592757. The reversal of 135592740 is 47295531.

It is a super-2 number, since 2×1355927402 = 36770782281415200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135592695 and 135592704.

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, 139737 + ... + 140703.

It is an arithmetic number, because the mean of its divisors is an integer number (3083080).

Almost surely, 2135592740 is an apocalyptic number.

135592740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135592740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221981760).

135592740 is an abundant number, since it is smaller than the sum of its proper divisors (308370780).

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

135592740 is a wasteful number, since it uses less digits than its factorization.

135592740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 135592740 is about 11644.4295695410. The cubic root of 135592740 is about 513.7424812866.

The spelling of 135592740 in words is "one hundred thirty-five million, five hundred ninety-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 41 45 57 60 76 82 90 95 114 123 164 171 180 190 205 228 246 285 342 369 380 410 492 570 615 684 738 779 820 855 967 1140 1230 1476 1558 1710 1845 1934 2337 2460 2901 3116 3420 3690 3868 3895 4674 4835 5802 7011 7380 7790 8703 9348 9670 11604 11685 14022 14505 15580 17406 18373 19340 23370 28044 29010 34812 35055 36746 39647 43515 46740 55119 58020 70110 73492 79294 87030 91865 110238 118941 140220 158588 165357 174060 183730 198235 220476 237882 275595 330714 356823 367460 396470 475764 551190 594705 661428 713646 753293 792940 826785 1102380 1189410 1427292 1506586 1653570 1784115 2259879 2378820 3013172 3307140 3568230 3766465 4519758 6779637 7136460 7532930 9039516 11299395 13559274 15065860 22598790 27118548 33898185 45197580 67796370 135592740