Search a number
-
+
135215610 = 2355979967
BaseRepresentation
bin10000000111100…
…11100111111010
3100102102122221120
420003303213322
5234103344420
621230050110
73231212415
oct1003634772
9312378846
10135215610
116a364542
1239349936
132202374a
1413d5ab7c
15bd0dd40
hex80f39fa

135215610 has 64 divisors (see below), whose sum is σ = 334540800. Its totient is φ = 34961472.

The previous prime is 135215599. The next prime is 135215617. The reversal of 135215610 is 16512531.

It is a super-2 number, since 2×1352156102 = 36566522375344200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135215617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139347 + ... + 140313.

It is an arithmetic number, because the mean of its divisors is an integer number (5227200).

Almost surely, 2135215610 is an apocalyptic number.

135215610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135215610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

135215610 is an abundant number, since it is smaller than the sum of its proper divisors (199325190).

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

135215610 is a wasteful number, since it uses less digits than its factorization.

135215610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 135215610 is about 11628.2247140309. The cubic root of 135215610 is about 513.2657408988.

The spelling of 135215610 in words is "one hundred thirty-five million, two hundred fifteen thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 79 118 158 177 237 295 354 395 474 590 790 885 967 1185 1770 1934 2370 2901 4661 4835 5802 9322 9670 13983 14505 23305 27966 29010 46610 57053 69915 76393 114106 139830 152786 171159 229179 285265 342318 381965 458358 570530 763930 855795 1145895 1711590 2291790 4507187 9014374 13521561 22535935 27043122 45071870 67607805 135215610