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136246704 = 243111743353
BaseRepresentation
bin10000001111011…
…11010110110000
3100111101001100020
420013233112300
5234334343304
621304123440
73243035466
oct1007572660
9314331306
10136246704
116a9a9190
1239766580
13222c4b69
1414148836
15be645d9
hex81ef5b0

136246704 has 160 divisors (see below), whose sum is σ = 417187584. Its totient is φ = 37847040.

The previous prime is 136246703. The next prime is 136246757. The reversal of 136246704 is 407642631.

It is a happy number.

136246704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (136246703) 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, 385792 + ... + 386144.

Almost surely, 2136246704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136246704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208593792).

136246704 is an abundant number, since it is smaller than the sum of its proper divisors (280940880).

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

136246704 is a wasteful number, since it uses less digits than its factorization.

136246704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 136246704 is about 11672.4763439469. The cubic root of 136246704 is about 514.5670839513.

The spelling of 136246704 in words is "one hundred thirty-six million, two hundred forty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 43 44 48 51 66 68 86 88 102 129 132 136 172 176 187 204 258 264 272 344 353 374 408 473 516 528 561 688 706 731 748 816 946 1032 1059 1122 1412 1419 1462 1496 1892 2064 2118 2193 2244 2824 2838 2924 2992 3784 3883 4236 4386 4488 5648 5676 5848 6001 7568 7766 8041 8472 8772 8976 11352 11649 11696 12002 15179 15532 16082 16944 17544 18003 22704 23298 24004 24123 30358 31064 32164 35088 36006 45537 46596 48008 48246 60716 62128 64328 66011 72012 91074 93192 96016 96492 121432 128656 132022 144024 166969 182148 186384 192984 198033 242864 258043 264044 288048 333938 364296 385968 396066 500907 516086 528088 667876 728592 774129 792132 1001814 1032172 1056176 1335752 1548258 1584264 2003628 2064344 2671504 2838473 3096516 3168528 4007256 4128688 5676946 6193032 8014512 8515419 11353892 12386064 17030838 22707784 34061676 45415568 68123352 136246704