Search a number
-
+
133143420 = 223553149281
BaseRepresentation
bin1111110111110…
…01101101111100
3100021112101102210
413323321231330
5233041042140
621113420420
73204462144
oct773715574
9307471383
10133143420
1169179693
123870a710
13217794b7
141397b924
15ba4ed80
hex7ef9b7c

133143420 has 96 divisors (see below), whose sum is σ = 383745600. Its totient is φ = 34478080.

The previous prime is 133143403. The next prime is 133143421. The reversal of 133143420 is 24341331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133143421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473680 + ... + 473960.

It is an arithmetic number, because the mean of its divisors is an integer number (3997350).

Almost surely, 2133143420 is an apocalyptic number.

133143420 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 133143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191872800).

133143420 is an abundant number, since it is smaller than the sum of its proper divisors (250602180).

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

133143420 is a wasteful number, since it uses less digits than its factorization.

133143420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 133143420 is about 11538.7789648645. The cubic root of 133143420 is about 510.6302857128.

Adding to 133143420 its reverse (24341331), we get a palindrome (157484751).

The spelling of 133143420 in words is "one hundred thirty-three million, one hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 149 159 212 265 281 298 318 447 530 562 596 636 745 795 843 894 1060 1124 1405 1490 1590 1686 1788 2235 2810 2980 3180 3372 4215 4470 5620 7897 8430 8940 14893 15794 16860 23691 29786 31588 39485 41869 44679 47382 59572 74465 78970 83738 89358 94764 118455 125607 148930 157940 167476 178716 209345 223395 236910 251214 297860 418690 446790 473820 502428 628035 837380 893580 1256070 2219057 2512140 4438114 6657171 8876228 11095285 13314342 22190570 26628684 33285855 44381140 66571710 133143420