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135814212 = 22333173967
BaseRepresentation
bin10000001100001…
…01110001000100
3100110120002002000
420012011301010
5234232023322
621250545300
73236254542
oct1006056104
9313502060
10135814212
116a733256
1239598230
13221a3051
1414074d92
15bdcb3ac
hex8185c44

135814212 has 48 divisors (see below), whose sum is σ = 353310720. Its totient is φ = 45117216.

The previous prime is 135814201. The next prime is 135814213. The reversal of 135814212 is 212418531.

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 (135814213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32253 + ... + 36219.

It is an arithmetic number, because the mean of its divisors is an integer number (7360640).

Almost surely, 2135814212 is an apocalyptic number.

135814212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135814212 is an abundant number, since it is smaller than the sum of its proper divisors (217496508).

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

135814212 is a wasteful number, since it uses less digits than its factorization.

135814212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4289 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 135814212 is about 11653.9354726204. The cubic root of 135814212 is about 514.0220382482.

The spelling of 135814212 in words is "one hundred thirty-five million, eight hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 317 634 951 1268 1902 2853 3804 3967 5706 7934 8559 11412 11901 15868 17118 23802 34236 35703 47604 71406 107109 142812 214218 428436 1257539 2515078 3772617 5030156 7545234 11317851 15090468 22635702 33953553 45271404 67907106 135814212