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135247700 = 225271910169
BaseRepresentation
bin10000000111110…
…11011101010100
3100102111021222002
420003323131110
5234110411300
621230454432
73231405110
oct1003733524
9312437862
10135247700
116a386665
1239364418
1322035233
1413d68740
15bd185d5
hex80fb754

135247700 has 72 divisors (see below), whose sum is σ = 353102400. Its totient is φ = 43925760.

The previous prime is 135247667. The next prime is 135247703. The reversal of 135247700 is 7742531.

135247700 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135247703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8216 + ... + 18384.

It is an arithmetic number, because the mean of its divisors is an integer number (4904200).

Almost surely, 2135247700 is an apocalyptic number.

135247700 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 135247700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176551200).

135247700 is an abundant number, since it is smaller than the sum of its proper divisors (217854700).

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

135247700 is a wasteful number, since it uses less digits than its factorization.

135247700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10209 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 135247700 is about 11629.6044644691. The cubic root of 135247700 is about 513.3063412280.

It can be divided in two parts, 135247 and 700, that multiplied together give a square (94672900 = 97302).

The spelling of 135247700 in words is "one hundred thirty-five million, two hundred forty-seven thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 10169 13300 20338 40676 50845 71183 101690 142366 193211 203380 254225 284732 355915 386422 508450 711830 772844 966055 1016900 1352477 1423660 1779575 1932110 2704954 3559150 3864220 4830275 5409908 6762385 7118300 9660550 13524770 19321100 27049540 33811925 67623850 135247700