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136873872 = 24321922633
BaseRepresentation
bin10000010100010…
…00011110010000
3100112112220122200
420022020132100
5240014430442
621325403200
73251260122
oct1012103620
9315486580
10136873872
1170297403
1239a09500
1322484475
141426d212
15c03a34c
hex8288790

136873872 has 90 divisors (see below), whose sum is σ = 404432262. Its totient is φ = 43206912.

The previous prime is 136873837. The next prime is 136873921. The reversal of 136873872 is 278378631.

It can be written as a sum of positive squares in only one way, i.e., 96118416 + 40755456 = 9804^2 + 6384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50668 + ... + 53300.

Almost surely, 2136873872 is an apocalyptic number.

136873872 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 136873872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202216131).

136873872 is an abundant number, since it is smaller than the sum of its proper divisors (267558390).

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

136873872 is a wasteful number, since it uses less digits than its factorization.

136873872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2657 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 136873872 is about 11699.3107489288. The cubic root of 136873872 is about 515.3554237363.

The spelling of 136873872 in words is "one hundred thirty-six million, eight hundred seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2633 2736 2888 3249 4332 5266 5776 6498 7899 8664 10532 12996 15798 17328 21064 23697 25992 31596 42128 47394 50027 51984 63192 94788 100054 126384 150081 189576 200108 300162 379152 400216 450243 600324 800432 900486 950513 1200648 1800972 1901026 2401296 2851539 3601944 3802052 5703078 7203888 7604104 8554617 11406156 15208208 17109234 22812312 34218468 45624624 68436936 136873872