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136943616 = 211331719
BaseRepresentation
bin10000010100110…
…01100000000000
3100112200110022210
420022121200000
5240024143431
621331102120
73252000345
oct1012314000
9315613283
10136943616
1170334847
1239a41940
13224aa134
141428a7cc
15c050d46
hex8299800

136943616 has 96 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 44113920.

The previous prime is 136943581. The next prime is 136943663. The reversal of 136943616 is 616349631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190105 + ... + 190823.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2136943616 is an apocalyptic number.

136943616 is a gapful number since it is divisible by the number (16) 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 136943616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

136943616 is an abundant number, since it is smaller than the sum of its proper divisors (240451584).

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

136943616 is an equidigital number, since it uses as much as digits as its factorization.

136943616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 755 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 136943616 is about 11702.2910577374. The cubic root of 136943616 is about 515.4429418895.

The spelling of 136943616 in words is "one hundred thirty-six million, nine hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 719 744 768 992 1024 1438 1488 1536 1984 2048 2157 2876 2976 3072 3968 4314 5752 5952 6144 7936 8628 11504 11904 15872 17256 22289 23008 23808 31744 34512 44578 46016 47616 63488 66867 69024 89156 92032 95232 133734 138048 178312 184064 190464 267468 276096 356624 368128 534936 552192 713248 736256 1069872 1104384 1426496 1472512 2139744 2208768 2852992 4279488 4417536 5705984 8558976 11411968 17117952 22823936 34235904 45647872 68471808 136943616