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135903460 = 22573111801
BaseRepresentation
bin10000001100110…
…11100011100100
3100110201121111111
420012123203210
5234242402320
621252514404
73240106000
oct1006334344
9313647444
10135903460
116a794310
123961ba04
1322204864
1414099700
15bde7a5a
hex819b8e4

135903460 has 96 divisors (see below), whose sum is σ = 363283200. Its totient is φ = 42336000.

The previous prime is 135903451. The next prime is 135903503. The reversal of 135903460 is 64309531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74560 + ... + 76360.

It is an arithmetic number, because the mean of its divisors is an integer number (3784200).

Almost surely, 2135903460 is an apocalyptic number.

135903460 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 135903460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181641600).

135903460 is an abundant number, since it is smaller than the sum of its proper divisors (227379740).

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

135903460 is a wasteful number, since it uses less digits than its factorization.

135903460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 135903460 is about 11657.7639365360. The cubic root of 135903460 is about 514.1346072082.

The spelling of 135903460 in words is "one hundred thirty-five million, nine hundred three thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 343 385 490 539 686 770 980 1078 1372 1540 1715 1801 2156 2695 3430 3602 3773 5390 6860 7204 7546 9005 10780 12607 15092 18010 18865 19811 25214 36020 37730 39622 50428 63035 75460 79244 88249 99055 126070 138677 176498 198110 252140 277354 352996 396220 441245 554708 617743 693385 882490 970739 1235486 1386770 1764980 1941478 2470972 2773540 3088715 3882956 4853695 6177430 6795173 9707390 12354860 13590346 19414780 27180692 33975865 67951730 135903460