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133345350 = 23252535591
BaseRepresentation
bin1111111001010…
…11000001000110
3100021220122102200
413330223001012
5233114022400
621122015330
73206262645
oct774530106
9307818380
10133345350
11692a7376
12387a7546
132181a398
14139d135c
15ba8eb00
hex7f2b046

133345350 has 72 divisors (see below), whose sum is σ = 365079312. Its totient is φ = 34881600.

The previous prime is 133345349. The next prime is 133345361. The reversal of 133345350 is 53543331.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21055 + ... + 26645.

It is an arithmetic number, because the mean of its divisors is an integer number (5070546).

Almost surely, 2133345350 is an apocalyptic number.

133345350 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 133345350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182539656).

133345350 is an abundant number, since it is smaller than the sum of its proper divisors (231733962).

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

133345350 is a wasteful number, since it uses less digits than its factorization.

133345350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 133345350 is about 11547.5257089993. The cubic root of 133345350 is about 510.8883019430. Note that the first 3 decimals are identical.

Adding to 133345350 its reverse (53543331), we get a palindrome (186888681).

The spelling of 133345350 in words is "one hundred thirty-three million, three hundred forty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 530 795 954 1325 1590 2385 2650 3975 4770 5591 7950 11182 11925 16773 23850 27955 33546 50319 55910 83865 100638 139775 167730 251595 279550 296323 419325 503190 592646 838650 888969 1257975 1481615 1777938 2515950 2666907 2963230 4444845 5333814 7408075 8889690 13334535 14816150 22224225 26669070 44448450 66672675 133345350