Search a number
-
+
136006500 = 22353712953
BaseRepresentation
bin10000001101101…
…00101101100100
3100110220211211210
420012310231210
5234304202000
621255031420
73241015260
oct1006645544
9313824753
10136006500
116a854773
123966b570
132223c726
14140c50a0
15be18350
hex81b4b64

136006500 has 96 divisors (see below), whose sum is σ = 452664576. Its totient is φ = 31084800.

The previous prime is 136006483. The next prime is 136006573. The reversal of 136006500 is 5600631.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4024 + ... + 16976.

It is an arithmetic number, because the mean of its divisors is an integer number (4715256).

Almost surely, 2136006500 is an apocalyptic number.

136006500 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 136006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226332288).

136006500 is an abundant number, since it is smaller than the sum of its proper divisors (316658076).

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

136006500 is a wasteful number, since it uses less digits than its factorization.

136006500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12982 (or 12970 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 136006500 is about 11662.1824715617. The cubic root of 136006500 is about 514.2645108101.

It can be divided in two parts, 13600 and 6500, that added together give a triangular number (20100 = T200).

The spelling of 136006500 in words is "one hundred thirty-six million, six thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 2100 2625 3500 5250 10500 12953 25906 38859 51812 64765 77718 90671 129530 155436 181342 194295 259060 272013 323825 362684 388590 453355 544026 647650 777180 906710 971475 1088052 1295300 1360065 1619125 1813420 1942950 2266775 2720130 3238250 3885900 4533550 4857375 5440260 6476500 6800325 9067100 9714750 11333875 13600650 19429500 22667750 27201300 34001625 45335500 68003250 136006500