Search a number
-
+
133431312 = 2437256731
BaseRepresentation
bin1111111010000…
…00000000010000
3100022002000100110
413331000000100
5233124300222
621123521320
73210101400
oct775000020
9308060313
10133431312
1169355a13
1238829240
132184a551
1413a14800
15baaa30c
hex7f40010

133431312 has 60 divisors (see below), whose sum is σ = 400981776. Its totient is φ = 38122560.

The previous prime is 133431307. The next prime is 133431367. The reversal of 133431312 is 213134331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

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, 26014 + ... + 30717.

Almost surely, 2133431312 is an apocalyptic number.

133431312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133431312 is an abundant number, since it is smaller than the sum of its proper divisors (267550464).

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

133431312 is a wasteful number, since it uses less digits than its factorization.

133431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56756 (or 56743 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 133431312 is about 11551.2472053887. The cubic root of 133431312 is about 510.9980609171.

Adding to 133431312 its reverse (213134331), we get a palindrome (346565643).

The spelling of 133431312 in words is "one hundred thirty-three million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 56731 113462 170193 226924 340386 397117 453848 680772 794234 907696 1191351 1361544 1588468 2382702 2723088 2779819 3176936 4765404 5559638 6353872 8339457 9530808 11119276 16678914 19061616 22238552 33357828 44477104 66715656 133431312