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135923124 = 22383239571
BaseRepresentation
bin10000001101000…
…00010110110100
3100110202121110210
420012200112310
5234244014444
621253145420
73240220221
oct1006402664
9313677423
10135923124
116a7a8067
123962b270
13222107ac
14140a2948
15bded7b9
hex81a05b4

135923124 has 48 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 44496480.

The previous prime is 135923119. The next prime is 135923141. The reversal of 135923124 is 421329531.

It is a super-3 number, since 3×1359231243 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135923091 and 135923100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237759 + ... + 238329.

It is an arithmetic number, because the mean of its divisors is an integer number (6726720).

Almost surely, 2135923124 is an apocalyptic number.

It is an amenable number.

135923124 is an abundant number, since it is smaller than the sum of its proper divisors (186959436).

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

135923124 is a wasteful number, since it uses less digits than its factorization.

135923124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 898 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 135923124 is about 11658.6072924685. The cubic root of 135923124 is about 514.1594028863.

The spelling of 135923124 in words is "one hundred thirty-five million, nine hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 83 166 239 249 332 478 498 571 717 956 996 1142 1434 1713 2284 2868 3426 6852 19837 39674 47393 59511 79348 94786 119022 136469 142179 189572 238044 272938 284358 409407 545876 568716 818814 1637628 11326927 22653854 33980781 45307708 67961562 135923124