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136573536 = 25311283457
BaseRepresentation
bin10000010001111…
…11001001100000
3100111222122200010
420020333021200
5234430323121
621315124520
73245566401
oct1010771140
9314878603
10136573536
11701017a0
12398a3740
13223aa858
14141d19a8
15becb376
hex823f260

136573536 has 96 divisors (see below), whose sum is σ = 393337728. Its totient is φ = 41149440.

The previous prime is 136573511. The next prime is 136573553. The reversal of 136573536 is 635375631.

136573536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (170100) is a multiple of the sum of its prime divisors (756).

It is a junction number, because it is equal to n+sod(n) for n = 136573494 and 136573503.

It is a congruent number.

It is an unprimeable number.

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, 298620 + ... + 299076.

It is an arithmetic number, because the mean of its divisors is an integer number (4097268).

Almost surely, 2136573536 is an apocalyptic number.

136573536 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 136573536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196668864).

136573536 is an abundant number, since it is smaller than the sum of its proper divisors (256764192).

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

136573536 is a wasteful number, since it uses less digits than its factorization.

136573536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its digits is 170100, while the sum is 39.

The square root of 136573536 is about 11686.4680720909. The cubic root of 136573536 is about 514.9782075172.

The spelling of 136573536 in words is "one hundred thirty-six million, five hundred seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 283 352 457 528 566 849 914 1056 1132 1371 1698 1828 2264 2742 3113 3396 3656 4528 5027 5484 6226 6792 7312 9056 9339 10054 10968 12452 13584 14624 15081 18678 20108 21936 24904 27168 30162 37356 40216 43872 49808 60324 74712 80432 99616 120648 129331 149424 160864 241296 258662 298848 387993 482592 517324 775986 1034648 1422641 1551972 2069296 2845282 3103944 4138592 4267923 5690564 6207888 8535846 11381128 12415776 17071692 22762256 34143384 45524512 68286768 136573536