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136666368 = 2832232579
BaseRepresentation
bin10000010010101…
…01110100000000
3100112011101000100
420021111310000
5234441310433
621321122400
73246434136
oct1011256400
9315141010
10136666368
1170165513
1239929400
1322410b97
1414217756
15bee8b13
hex8255d00

136666368 has 108 divisors (see below), whose sum is σ = 411334560. Its totient is φ = 43557888.

The previous prime is 136666363. The next prime is 136666379. The reversal of 136666368 is 863666631.

It is a happy number.

It is a super-2 number, since 2×1366663682 = 37355392284622848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136666363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51703 + ... + 54281.

Almost surely, 2136666368 is an apocalyptic number.

136666368 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 136666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205667280).

136666368 is an abundant number, since it is smaller than the sum of its proper divisors (274668192).

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

136666368 is a wasteful number, since it uses less digits than its factorization.

136666368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2607 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 136666368 is about 11690.4391705359. The cubic root of 136666368 is about 515.0948617163.

The spelling of 136666368 in words is "one hundred thirty-six million, six hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2579 2944 3312 4416 5158 5888 6624 7737 8832 10316 13248 15474 17664 20632 23211 26496 30948 41264 46422 52992 59317 61896 82528 92844 118634 123792 165056 177951 185688 237268 247584 330112 355902 371376 474536 495168 533853 660224 711804 742752 949072 990336 1067706 1423608 1485504 1898144 1980672 2135412 2847216 2971008 3796288 4270824 5694432 5942016 7592576 8541648 11388864 15185152 17083296 22777728 34166592 45555456 68333184 136666368