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133719424 = 272353857
BaseRepresentation
bin1111111100001…
…10010110000000
3100022121122120021
413332012112000
5233213010144
621134023224
73212411356
oct776062600
9308548507
10133719424
1169532423
1238947b14
132191b727
1413a8b7d6
15bb15884
hex7f86580

133719424 has 64 divisors (see below), whose sum is σ = 283551840. Its totient is φ = 62672896.

The previous prime is 133719419. The next prime is 133719427. The reversal of 133719424 is 424917331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 133719424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133719427) 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 7 ways as a sum of consecutive naturals, for example, 155604 + ... + 156460.

Almost surely, 2133719424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141775920).

133719424 is an abundant number, since it is smaller than the sum of its proper divisors (149832416).

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

133719424 is an equidigital number, since it uses as much as digits as its factorization.

133719424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 935 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 133719424 is about 11563.7115149073. The cubic root of 133719424 is about 511.3655879314.

The spelling of 133719424 in words is "one hundred thirty-three million, seven hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 128 184 212 368 424 736 848 857 1219 1472 1696 1714 2438 2944 3392 3428 4876 6784 6856 9752 13712 19504 19711 27424 39008 39422 45421 54848 78016 78844 90842 109696 156032 157688 181684 315376 363368 630752 726736 1044683 1261504 1453472 2089366 2523008 2906944 4178732 5813888 8357464 16714928 33429856 66859712 133719424