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134868072 = 23317615419
BaseRepresentation
bin10000000100111…
…10110001101000
3100101210000012210
420002132301220
5234011234242
621214405120
73225234243
oct1002366150
9311700183
10134868072
116a147419
12392007a0
1321c314c1
1413caa25a
15bc90d9c
hex809ec68

134868072 has 64 divisors (see below), whose sum is σ = 362923200. Its totient is φ = 41610240.

The previous prime is 134868059. The next prime is 134868079. The reversal of 134868072 is 270868431.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 134868072.

It is not an unprimeable number, because it can be changed into a prime (134868079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22179 + ... + 27597.

It is an arithmetic number, because the mean of its divisors is an integer number (5670675).

Almost surely, 2134868072 is an apocalyptic number.

134868072 is a gapful number since it is divisible by the number (12) 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 134868072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181461600).

134868072 is an abundant number, since it is smaller than the sum of its proper divisors (228055128).

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

134868072 is a wasteful number, since it uses less digits than its factorization.

134868072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 134868072 is about 11613.2713737344. The cubic root of 134868072 is about 512.8256230894.

The spelling of 134868072 in words is "one hundred thirty-four million, eight hundred sixty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 732 1037 1464 2074 3111 4148 5419 6222 8296 10838 12444 16257 21676 24888 32514 43352 65028 92123 130056 184246 276369 330559 368492 552738 661118 736984 991677 1105476 1322236 1983354 2210952 2644472 3966708 5619503 7933416 11239006 16858509 22478012 33717018 44956024 67434036 134868072