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133142460 = 223511201731
BaseRepresentation
bin1111110111110…
…01011110111100
3100021112100010020
413323321132330
5233041024320
621113412140
73204456303
oct773713674
9307470106
10133142460
11691789a0
123870a050
1321778c29
141397b43a
15ba4e940
hex7ef97bc

133142460 has 48 divisors (see below), whose sum is σ = 406691712. Its totient is φ = 32276800.

The previous prime is 133142459. The next prime is 133142461. The reversal of 133142460 is 64241331.

It is an interprime number because it is at equal distance from previous prime (133142459) and next prime (133142461).

It is a self number, because there is not a number n which added to its sum of digits gives 133142460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133142461) 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, 100206 + ... + 101525.

It is an arithmetic number, because the mean of its divisors is an integer number (8472744).

Almost surely, 2133142460 is an apocalyptic number.

133142460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133142460 is an abundant number, since it is smaller than the sum of its proper divisors (273549252).

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

133142460 is a wasteful number, since it uses less digits than its factorization.

133142460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201754 (or 201752 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 133142460 is about 11538.7373659339. The cubic root of 133142460 is about 510.6290584491.

Adding to 133142460 its reverse (64241331), we get a palindrome (197383791).

The spelling of 133142460 in words is "one hundred thirty-three million, one hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 201731 403462 605193 806924 1008655 1210386 2017310 2219041 2420772 3025965 4034620 4438082 6051930 6657123 8876164 11095205 12103860 13314246 22190410 26628492 33285615 44380820 66571230 133142460