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133142420 = 22516739863
BaseRepresentation
bin1111110111110…
…01011110010100
3100021112100001202
413323321132110
5233041024140
621113412032
73204456215
oct773713624
9307470052
10133142420
1169178964
123870a018
1321778bc8
141397b40c
15ba4e915
hex7ef9794

133142420 has 24 divisors (see below), whose sum is σ = 281280384. Its totient is φ = 52936736.

The previous prime is 133142417. The next prime is 133142431. The reversal of 133142420 is 24241331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133142392 and 133142401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16592 + ... + 23271.

It is an arithmetic number, because the mean of its divisors is an integer number (11720016).

Almost surely, 2133142420 is an apocalyptic number.

133142420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133142420 is an abundant number, since it is smaller than the sum of its proper divisors (148137964).

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

133142420 is a wasteful number, since it uses less digits than its factorization.

133142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40039 (or 40037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 133142420 is about 11538.7356326419. The cubic root of 133142420 is about 510.6290073130.

Adding to 133142420 its reverse (24241331), we get a palindrome (157383751).

The spelling of 133142420 in words is "one hundred thirty-three million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 167 334 668 835 1670 3340 39863 79726 159452 199315 398630 797260 6657121 13314242 26628484 33285605 66571210 133142420