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133104420 = 22325739469
BaseRepresentation
bin1111110111100…
…00001100100100
3100021110101221100
413323300030210
5233033320140
621112520100
73204240351
oct773601444
9307411840
10133104420
1169152359
12386b0030
1321764817
141396b628
15ba43530
hex7ef0324

133104420 has 36 divisors (see below), whose sum is σ = 403750620. Its totient is φ = 35494464.

The previous prime is 133104353. The next prime is 133104451. The reversal of 133104420 is 24401331.

It can be written as a sum of positive squares in 2 ways, for example, as 19554084 + 113550336 = 4422^2 + 10656^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 133104393 and 133104402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369555 + ... + 369914.

It is an arithmetic number, because the mean of its divisors is an integer number (11215295).

Almost surely, 2133104420 is an apocalyptic number.

133104420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133104420 is an abundant number, since it is smaller than the sum of its proper divisors (270646200).

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

133104420 is a wasteful number, since it uses less digits than its factorization.

133104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739484 (or 739479 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 133104420 is about 11537.0888875834. The cubic root of 133104420 is about 510.5804233766.

Adding to 133104420 its reverse (24401331), we get a palindrome (157505751).

The spelling of 133104420 in words is "one hundred thirty-three million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 739469 1478938 2218407 2957876 3697345 4436814 6655221 7394690 8873628 11092035 13310442 14789380 22184070 26620884 33276105 44368140 66552210 133104420