Search a number
-
+
136342872 = 23333311907
BaseRepresentation
bin10000010000001…
…10110101011000
3100111112221021000
420020012311120
5234400432442
621310145000
73243616041
oct1010066530
9314487230
10136342872
116aa64466
12397b2160
1322329873
14141718c8
15be82d4c
hex8206d58

136342872 has 64 divisors (see below), whose sum is σ = 380073600. Its totient is φ = 45286560.

The previous prime is 136342837. The next prime is 136342889. The reversal of 136342872 is 278243631.

It is a happy number.

136342872 is a `hidden beast` number, since 13 + 634 + 2 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70543 + ... + 72449.

It is an arithmetic number, because the mean of its divisors is an integer number (5938650).

Almost surely, 2136342872 is an apocalyptic number.

136342872 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 136342872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190036800).

136342872 is an abundant number, since it is smaller than the sum of its proper divisors (243730728).

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

136342872 is a wasteful number, since it uses less digits than its factorization.

136342872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2243 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 136342872 is about 11676.5950516407. The cubic root of 136342872 is about 514.6881223512.

The spelling of 136342872 in words is "one hundred thirty-six million, three hundred forty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 331 662 993 1324 1907 1986 2648 2979 3814 3972 5721 5958 7628 7944 8937 11442 11916 15256 17163 17874 22884 23832 34326 35748 45768 51489 68652 71496 102978 137304 205956 411912 631217 1262434 1893651 2524868 3787302 5049736 5680953 7574604 11361906 15149208 17042859 22723812 34085718 45447624 68171436 136342872