[go: up one dir, main page]

Search a number
-
+
133220020 = 225193143263
BaseRepresentation
bin1111111000011…
…00011010110100
3100021200021111211
413330030122310
5233101020040
621115211204
73205231363
oct774143264
9307607454
10133220020
116922119a
1238746b04
13217a531b
141399b7da
15ba678ea
hex7f0c6b4

133220020 has 96 divisors (see below), whose sum is σ = 312238080. Its totient is φ = 47537280.

The previous prime is 133220011. The next prime is 133220027. The reversal of 133220020 is 20022331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133220027) 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, 506409 + ... + 506671.

It is an arithmetic number, because the mean of its divisors is an integer number (3252480).

Almost surely, 2133220020 is an apocalyptic number.

133220020 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 133220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156119040).

133220020 is an abundant number, since it is smaller than the sum of its proper divisors (179018060).

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

133220020 is a wasteful number, since it uses less digits than its factorization.

133220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 133220020 is about 11542.0977296157. The cubic root of 133220020 is about 510.7281921188.

Adding to 133220020 its reverse (20022331), we get a palindrome (153242351).

The spelling of 133220020 in words is "one hundred thirty-three million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 31 38 43 62 76 86 95 124 155 172 190 215 263 310 380 430 526 589 620 817 860 1052 1178 1315 1333 1634 2356 2630 2666 2945 3268 4085 4997 5260 5332 5890 6665 8153 8170 9994 11309 11780 13330 16306 16340 19988 22618 24985 25327 26660 32612 40765 45236 49970 50654 56545 81530 99940 101308 113090 126635 154907 163060 214871 226180 253270 309814 350579 429742 506540 619628 701158 774535 859484 1074355 1402316 1549070 1752895 2148710 3098140 3505790 4297420 6661001 7011580 13322002 26644004 33305005 66610010 133220020