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133740404 = 22723531933
BaseRepresentation
bin1111111100010…
…11011101110100
3100022122201100022
413332023131310
5233214143104
621134304312
73212526500
oct776133564
9308581308
10133740404
1169547166
1238958098
1321928145
1413a95300
15bb1bbbe
hex7f8b774

133740404 has 36 divisors (see below), whose sum is σ = 273169764. Its totient is φ = 57125376.

The previous prime is 133740403. The next prime is 133740407. The reversal of 133740404 is 404047331.

It can be written as a sum of positive squares in 2 ways, for example, as 72931600 + 60808804 = 8540^2 + 7798^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133740403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68222 + ... + 70154.

It is an arithmetic number, because the mean of its divisors is an integer number (7588049).

Almost surely, 2133740404 is an apocalyptic number.

133740404 is a gapful number since it is divisible by the number (14) 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 133740404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136584882).

133740404 is an abundant number, since it is smaller than the sum of its proper divisors (139429360).

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

133740404 is a wasteful number, since it uses less digits than its factorization.

133740404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 133740404 is about 11564.6186275208. The cubic root of 133740404 is about 511.3923302168.

Adding to 133740404 its reverse (404047331), we get a palindrome (537787735).

The spelling of 133740404 in words is "one hundred thirty-three million, seven hundred forty thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 353 706 1412 1933 2471 3866 4942 7732 9884 13531 17297 27062 34594 54124 69188 94717 189434 378868 682349 1364698 2729396 4776443 9552886 19105772 33435101 66870202 133740404