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133724020 = 22519933599
BaseRepresentation
bin1111111100001…
…11011101110100
3100022121212212111
413332013131310
5233213132040
621134100404
73212430643
oct776073564
9308555774
10133724020
1169535921
123894a704
1321920851
1413a8d35a
15bb16dea
hex7f87774

133724020 has 24 divisors (see below), whose sum is σ = 282240000. Its totient is φ = 53219232.

The previous prime is 133723991. The next prime is 133724029. The reversal of 133724020 is 20427331.

It is a super-2 number, since 2×1337240202 = 35764227049920800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133723982 and 133724000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133724029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12820 + ... + 20779.

It is an arithmetic number, because the mean of its divisors is an integer number (11760000).

Almost surely, 2133724020 is an apocalyptic number.

133724020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133724020 is an abundant number, since it is smaller than the sum of its proper divisors (148515980).

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

133724020 is a wasteful number, since it uses less digits than its factorization.

133724020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33807 (or 33805 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 133724020 is about 11563.9102383234. The cubic root of 133724020 is about 511.3714464902.

The spelling of 133724020 in words is "one hundred thirty-three million, seven hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 199 398 796 995 1990 3980 33599 67198 134396 167995 335990 671980 6686201 13372402 26744804 33431005 66862010 133724020