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136860048 = 243213292521
BaseRepresentation
bin10000010100001…
…01000110010000
3100112112012200200
420022011012100
5240014010143
621325215200
73251201613
oct1012050620
9315465620
10136860048
1170287a86
1239a01500
132247b0a0
141426817a
15c0361d3
hex8285190

136860048 has 120 divisors (see below), whose sum is σ = 426873720. Its totient is φ = 40642560.

The previous prime is 136859993. The next prime is 136860049. The reversal of 136860048 is 840068631.

It is a happy number.

136860048 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 600 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 132987024 = 1968^2 + 11532^2 .

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 = 136859994 and 136860021.

It is not an unprimeable number, because it can be changed into a prime (136860049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53028 + ... + 55548.

It is an arithmetic number, because the mean of its divisors is an integer number (3557281).

Almost surely, 2136860048 is an apocalyptic number.

136860048 is a gapful number since it is divisible by the number (18) 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 136860048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213436860).

136860048 is an abundant number, since it is smaller than the sum of its proper divisors (290013672).

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

136860048 is a wasteful number, since it uses less digits than its factorization.

136860048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 136860048 is about 11698.7199299752. The cubic root of 136860048 is about 515.3380731806.

It can be divided in two parts, 1368 and 60048, that added together give a palindrome (61416).

The spelling of 136860048 in words is "one hundred thirty-six million, eight hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1044 1131 1392 1508 1872 2088 2262 2521 3016 3393 4176 4524 5042 6032 6786 7563 9048 10084 13572 15126 18096 20168 22689 27144 30252 32773 40336 45378 54288 60504 65546 73109 90756 98319 121008 131092 146218 181512 196638 219327 262184 292436 294957 363024 393276 438654 524368 584872 589914 657981 786552 877308 950417 1169744 1179828 1315962 1573104 1754616 1900834 2359656 2631924 2851251 3509232 3801668 4719312 5263848 5702502 7603336 8553753 10527696 11405004 15206672 17107506 22810008 34215012 45620016 68430024 136860048