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133140060 = 223253719991
BaseRepresentation
bin1111110111110…
…00111001011100
3100021112012211100
413323320321130
5233040440220
621113353100
73204446304
oct773707134
9307465740
10133140060
1169177109
1238708790
1321777b01
141397a604
15ba4dd90
hex7ef8e5c

133140060 has 72 divisors (see below), whose sum is σ = 414794016. Its totient is φ = 34542720.

The previous prime is 133140053. The next prime is 133140109. The reversal of 133140060 is 60041331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3336 + ... + 16655.

It is an arithmetic number, because the mean of its divisors is an integer number (5761028).

Almost surely, 2133140060 is an apocalyptic number.

133140060 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 133140060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207397008).

133140060 is an abundant number, since it is smaller than the sum of its proper divisors (281653956).

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

133140060 is a wasteful number, since it uses less digits than its factorization.

133140060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20043 (or 20038 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133140060 is about 11538.6333679513. The cubic root of 133140060 is about 510.6259902641.

Adding to 133140060 its reverse (60041331), we get a palindrome (193181391).

The spelling of 133140060 in words is "one hundred thirty-three million, one hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 19991 39982 59973 79964 99955 119946 179919 199910 239892 299865 359838 399820 599730 719676 739667 899595 1199460 1479334 1799190 2219001 2958668 3598380 3698335 4438002 6657003 7396670 8876004 11095005 13314006 14793340 22190010 26628012 33285015 44380020 66570030 133140060