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135247300 = 225229149313
BaseRepresentation
bin10000000111110…
…11010111000100
3100102111021102021
420003323113010
5234110403200
621230452524
73231403666
oct1003732704
9312437367
10135247300
116a386331
1239364144
1322034cb6
1413d68536
15bd1841a
hex80fb5c4

135247300 has 72 divisors (see below), whose sum is σ = 306621000. Its totient is φ = 51717120.

The previous prime is 135247279. The next prime is 135247349. The reversal of 135247300 is 3742531.

It can be written as a sum of positive squares in 12 ways, for example, as 106667584 + 28579716 = 10328^2 + 5346^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 431944 + ... + 432256.

It is an arithmetic number, because the mean of its divisors is an integer number (4258625).

Almost surely, 2135247300 is an apocalyptic number.

135247300 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 135247300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153310500).

135247300 is an abundant number, since it is smaller than the sum of its proper divisors (171373700).

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

135247300 is a wasteful number, since it uses less digits than its factorization.

135247300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 135247300 is about 11629.5872669670. The cubic root of 135247300 is about 513.3058351867.

Adding to 135247300 its reverse (3742531), we get a palindrome (138989831).

The spelling of 135247300 in words is "one hundred thirty-five million, two hundred forty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 149 290 298 313 580 596 626 725 745 1252 1450 1490 1565 2900 2980 3130 3725 4321 6260 7450 7825 8642 9077 14900 15650 17284 18154 21605 31300 36308 43210 45385 46637 86420 90770 93274 108025 181540 186548 216050 226925 233185 432100 453850 466370 907700 932740 1165925 1352473 2331850 2704946 4663700 5409892 6762365 13524730 27049460 33811825 67623650 135247300