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136221760 = 2651492857
BaseRepresentation
bin10000001111010…
…01010001000000
3100111022210010101
420013221101000
5234333044020
621303412144
73242602663
oct1007512100
9314283111
10136221760
116a991474
1239754054
13222b66bc
141413d6da
15be5c00a
hex81e9440

136221760 has 56 divisors (see below), whose sum is σ = 326669400. Its totient is φ = 54104064.

The previous prime is 136221749. The next prime is 136221793. The reversal of 136221760 is 67122631.

136221760 = T41 + T42 + ... + T934.

It can be written as a sum of positive squares in 4 ways, for example, as 4981824 + 131239936 = 2232^2 + 11456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46252 + ... + 49108.

Almost surely, 2136221760 is an apocalyptic number.

136221760 is a gapful number since it is divisible by the number (10) 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 136221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163334700).

136221760 is an abundant number, since it is smaller than the sum of its proper divisors (190447640).

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

136221760 is a wasteful number, since it uses less digits than its factorization.

136221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 136221760 is about 11671.4077985477. The cubic root of 136221760 is about 514.5356797794.

The spelling of 136221760 in words is "one hundred thirty-six million, two hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 149 160 298 320 596 745 1192 1490 2384 2857 2980 4768 5714 5960 9536 11428 11920 14285 22856 23840 28570 45712 47680 57140 91424 114280 182848 228560 425693 457120 851386 914240 1702772 2128465 3405544 4256930 6811088 8513860 13622176 17027720 27244352 34055440 68110880 136221760