Search a number
-
+
135916900 = 22527194167
BaseRepresentation
bin10000001100111…
…10110101100100
3100110202021221021
420012132311210
5234243320100
621253100524
73240163120
oct1006366544
9313667837
10135916900
116a7a3419
1239627744
132220aa02
14140a0580
15bdeba1a
hex819ed64

135916900 has 36 divisors (see below), whose sum is σ = 337075648. Its totient is φ = 46599840.

The previous prime is 135916897. The next prime is 135916901. The reversal of 135916900 is 9619531.

135916900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1359169002 = 36946807411220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135916901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96384 + ... + 97783.

Almost surely, 2135916900 is an apocalyptic number.

135916900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135916900 is an abundant number, since it is smaller than the sum of its proper divisors (201158748).

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

135916900 is a wasteful number, since it uses less digits than its factorization.

135916900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194188 (or 194181 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The square root of 135916900 is about 11658.3403621613. The cubic root of 135916900 is about 514.1515548791.

The spelling of 135916900 in words is "one hundred thirty-five million, nine hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 194167 388334 776668 970835 1359169 1941670 2718338 3883340 4854175 5436676 6795845 9708350 13591690 19416700 27183380 33979225 67958450 135916900