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135370284 = 2237672359
BaseRepresentation
bin10000001000110…
…01011000101100
3100102201112010020
420010121120230
5234123322114
621233242140
73232425360
oct1004313054
9312645106
10135370284
116a45a775
1239403350
1322078c7a
1413d9b2a0
15bd3eaa9
hex811962c

135370284 has 72 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 37993824.

The previous prime is 135370283. The next prime is 135370297. The reversal of 135370284 is 482073531.

It is a super-2 number, since 2×1353702842 = 36650227580481312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135370283) 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, 376897 + ... + 377255.

It is an arithmetic number, because the mean of its divisors is an integer number (5103840).

Almost surely, 2135370284 is an apocalyptic number.

135370284 is a gapful number since it is divisible by the number (14) 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 135370284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

135370284 is an abundant number, since it is smaller than the sum of its proper divisors (232106196).

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

135370284 is a wasteful number, since it uses less digits than its factorization.

135370284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 135370284 is about 11634.8736134090. The cubic root of 135370284 is about 513.4613756417.

The spelling of 135370284 in words is "one hundred thirty-five million, three hundred seventy thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 359 402 469 718 804 938 1077 1407 1436 1876 2154 2513 2814 4308 4489 5026 5628 7539 8978 10052 13467 15078 17956 24053 26934 30156 31423 48106 53868 62846 72159 94269 96212 125692 144318 168371 188538 288636 336742 377076 505113 673484 1010226 1611551 2020452 3223102 4834653 6446204 9669306 11280857 19338612 22561714 33842571 45123428 67685142 135370284