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135446430 = 2357897247
BaseRepresentation
bin10000001001010…
…11111110011110
3100102212101120110
420010223332132
5234133241210
621235030450
73233163360
oct1004537636
9312771513
10135446430
116a5019a9
123943b426
13220a4822
1413dbad30
15bd57420
hex812bf9e

135446430 has 64 divisors (see below), whose sum is σ = 375736320. Its totient is φ = 30607104.

The previous prime is 135446417. The next prime is 135446447. The reversal of 135446430 is 34644531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15067 + ... + 22313.

It is an arithmetic number, because the mean of its divisors is an integer number (5870880).

Almost surely, 2135446430 is an apocalyptic number.

135446430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135446430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187868160).

135446430 is an abundant number, since it is smaller than the sum of its proper divisors (240289890).

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

135446430 is a wasteful number, since it uses less digits than its factorization.

135446430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7353.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 135446430 is about 11638.1454708214. The cubic root of 135446430 is about 513.5576318759.

The spelling of 135446430 in words is "one hundred thirty-five million, four hundred forty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 210 267 445 534 623 890 1246 1335 1869 2670 3115 3738 6230 7247 9345 14494 18690 21741 36235 43482 50729 72470 101458 108705 152187 217410 253645 304374 507290 644983 760935 1289966 1521870 1934949 3224915 3869898 4514881 6449830 9029762 9674745 13544643 19349490 22574405 27089286 45148810 67723215 135446430