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135923034 = 23133167839
BaseRepresentation
bin10000001101000…
…00010101011010
3100110202121100110
420012200111122
5234244014114
621253145150
73240220032
oct1006402532
9313677313
10135923034
116a7a7a95
123962b1b6
1322210740
14140a28c2
15bded759
hex81a055a

135923034 has 64 divisors (see below), whose sum is σ = 307077120. Its totient is φ = 39821760.

The previous prime is 135923033. The next prime is 135923059. The reversal of 135923034 is 430329531.

It is a junction number, because it is equal to n+sod(n) for n = 135922992 and 135923010.

It is not an unprimeable number, because it can be changed into a prime (135923033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161587 + ... + 162425.

It is an arithmetic number, because the mean of its divisors is an integer number (4798080).

Almost surely, 2135923034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135923034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

135923034 is an abundant number, since it is smaller than the sum of its proper divisors (171154086).

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

135923034 is a wasteful number, since it uses less digits than its factorization.

135923034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955.

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 135923034 is about 11658.6034326586. The cubic root of 135923034 is about 514.1592894046.

The spelling of 135923034 in words is "one hundred thirty-five million, nine hundred twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 13 26 31 39 62 67 78 93 134 186 201 402 403 806 839 871 1209 1678 1742 2077 2418 2517 2613 4154 5034 5226 6231 10907 12462 21814 26009 27001 32721 52018 54002 56213 65442 78027 81003 112426 156054 162006 168639 337278 338117 676234 730769 1014351 1461538 1742603 2028702 2192307 3485206 4384614 5227809 10455618 22653839 45307678 67961517 135923034