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135900828 = 2234759921
BaseRepresentation
bin10000001100110…
…10111010011100
3100110201110220000
420012122322130
5234242311303
621252454300
73240065220
oct1006327234
9313643800
10135900828
116a792338
123961a390
13222035bb
1414098780
15bde6da3
hex819ae9c

135900828 has 60 divisors (see below), whose sum is σ = 406031472. Its totient is φ = 38828160.

The previous prime is 135900827. The next prime is 135900833. The reversal of 135900828 is 828009531.

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 = 135900792 and 135900801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135900827) 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 19 ways as a sum of consecutive naturals, for example, 27693 + ... + 32228.

Almost surely, 2135900828 is an apocalyptic number.

135900828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135900828 is an abundant number, since it is smaller than the sum of its proper divisors (270130644).

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

135900828 is a wasteful number, since it uses less digits than its factorization.

135900828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59944 (or 59933 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 135900828 is about 11657.6510498470. The cubic root of 135900828 is about 514.1312881585.

The spelling of 135900828 in words is "one hundred thirty-five million, nine hundred thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 59921 119842 179763 239684 359526 419447 539289 719052 838894 1078578 1258341 1617867 1677788 2157156 2516682 3235734 3775023 4853601 5033364 6471468 7550046 9707202 11325069 15100092 19414404 22650138 33975207 45300276 67950414 135900828