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133840940 = 22519438191
BaseRepresentation
bin1111111101001…
…00000000101100
3100022211211020212
413332210000230
5233230402230
621140401552
73213425552
oct776440054
9308754225
10133840940
1169605752
12389a62b8
1321961b2c
1413abdbd2
15bb3b895
hex7fa402c

133840940 has 48 divisors (see below), whose sum is σ = 302776320. Its totient is φ = 49533120.

The previous prime is 133840909. The next prime is 133840943. The reversal of 133840940 is 49048331.

It is a junction number, because it is equal to n+sod(n) for n = 133840897 and 133840906.

It is not an unprimeable number, because it can be changed into a prime (133840943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12245 + ... + 20435.

It is an arithmetic number, because the mean of its divisors is an integer number (6307840).

Almost surely, 2133840940 is an apocalyptic number.

133840940 is a gapful number since it is divisible by the number (10) 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 133840940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151388160).

133840940 is an abundant number, since it is smaller than the sum of its proper divisors (168935380).

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

133840940 is a wasteful number, since it uses less digits than its factorization.

133840940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 133840940 is about 11568.9645171899. The cubic root of 133840940 is about 511.5204402476.

The spelling of 133840940 in words is "one hundred thirty-three million, eight hundred forty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1634 3268 4085 8170 8191 16340 16382 32764 40955 81910 155629 163820 311258 352213 622516 704426 778145 1408852 1556290 1761065 3112580 3522130 6692047 7044260 13384094 26768188 33460235 66920470 133840940