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133022420 = 225192912071
BaseRepresentation
bin1111110110111…
…00001011010100
3100021022020110022
413323130023110
5233023204140
621111044312
73203446316
oct773341324
9307266408
10133022420
11690a6793
1238670698
13217363bb
14139497b6
15ba290b5
hex7edc2d4

133022420 has 48 divisors (see below), whose sum is σ = 304214400. Its totient is φ = 48666240.

The previous prime is 133022371. The next prime is 133022423. The reversal of 133022420 is 24220331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133022423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4985 + ... + 17055.

It is an arithmetic number, because the mean of its divisors is an integer number (6337800).

Almost surely, 2133022420 is an apocalyptic number.

133022420 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 133022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152107200).

133022420 is an abundant number, since it is smaller than the sum of its proper divisors (171191980).

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

133022420 is a wasteful number, since it uses less digits than its factorization.

133022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12128 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 133022420 is about 11533.5345839860. The cubic root of 133022420 is about 510.4755528414.

Adding to 133022420 its reverse (24220331), we get a palindrome (157242751).

The spelling of 133022420 in words is "one hundred thirty-three million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 11020 12071 24142 48284 60355 120710 229349 241420 350059 458698 700118 917396 1146745 1400236 1750295 2293490 3500590 4586980 6651121 7001180 13302242 26604484 33255605 66511210 133022420