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136023104 = 2672343307
BaseRepresentation
bin10000001101110…
…00110001000000
3100110221200121202
420012320301000
5234310214404
621255240332
73241114550
oct1006706100
9313850552
10136023104
116a866198
12396790a8
1322247159
14140cb160
15be1d21e
hex81b8c40

136023104 has 112 divisors (see below), whose sum is σ = 330451968. Its totient is φ = 54286848.

The previous prime is 136023091. The next prime is 136023113. The reversal of 136023104 is 401320631.

136023104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 442919 + ... + 443225.

It is an arithmetic number, because the mean of its divisors is an integer number (2950464).

Almost surely, 2136023104 is an apocalyptic number.

136023104 is a gapful number since it is divisible by the number (14) 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 136023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165225984).

136023104 is an abundant number, since it is smaller than the sum of its proper divisors (194428864).

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

136023104 is a wasteful number, since it uses less digits than its factorization.

136023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 136023104 is about 11662.8943234516. The cubic root of 136023104 is about 514.2854375072.

Adding to 136023104 its reverse (401320631), we get a palindrome (537343735).

The spelling of 136023104 in words is "one hundred thirty-six million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 56 64 86 92 112 161 172 184 224 301 307 322 344 368 448 602 614 644 688 736 989 1204 1228 1288 1376 1472 1978 2149 2408 2456 2576 2752 3956 4298 4816 4912 5152 6923 7061 7912 8596 9632 9824 10304 13201 13846 14122 15824 17192 19264 19648 26402 27692 28244 31648 34384 49427 52804 55384 56488 63296 68768 92407 98854 105608 110768 112976 137536 184814 197708 211216 221536 225952 303623 369628 395416 422432 443072 451904 607246 739256 790832 844864 1214492 1478512 1581664 2125361 2428984 2957024 3163328 4250722 4857968 5914048 8501444 9715936 17002888 19431872 34005776 68011552 136023104