Search a number
-
+
135332802 = 23311733121
BaseRepresentation
bin10000001000100…
…00001111000010
3100102122121201000
420010100033002
5234121122202
621232352430
73232211163
oct1004201702
9312577630
10135332802
116a4345a0
12393a5716
1322064ba7
1413d8b76a
15bd3391c
hex81103c2

135332802 has 64 divisors (see below), whose sum is σ = 332680320. Its totient is φ = 40435200.

The previous prime is 135332789. The next prime is 135332807. The reversal of 135332802 is 208233531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135332807) 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, 41802 + ... + 44922.

It is an arithmetic number, because the mean of its divisors is an integer number (5198130).

Almost surely, 2135332802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135332802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166340160).

135332802 is an abundant number, since it is smaller than the sum of its proper divisors (197347518).

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

135332802 is a wasteful number, since it uses less digits than its factorization.

135332802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135332802 is about 11633.2627409511. The cubic root of 135332802 is about 513.4139813509.

The spelling of 135332802 in words is "one hundred thirty-five million, three hundred thirty-two thousand, eight hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 99 146 198 219 297 438 594 657 803 1314 1606 1971 2409 3121 3942 4818 6242 7227 9363 14454 18726 21681 28089 34331 43362 56178 68662 84267 102993 168534 205986 227833 308979 455666 617958 683499 926937 1366998 1853874 2050497 2506163 4100994 5012326 6151491 7518489 12302982 15036978 22555467 45110934 67666401 135332802