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133546640 = 24513112743
BaseRepresentation
bin1111111010111…
…00001010010000
3100022021212112212
413331130022100
5233141443030
621130211252
73211061543
oct775341220
9308255485
10133546640
1169424627
1238883b28
132188aba6
1413a4485a
15bace595
hex7f5c290

133546640 has 40 divisors (see below), whose sum is σ = 312890688. Its totient is φ = 53006720.

The previous prime is 133546631. The next prime is 133546657. The reversal of 133546640 is 46645331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 133546597 and 133546606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4109 + ... + 16851.

Almost surely, 2133546640 is an apocalyptic number.

133546640 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 133546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156445344).

133546640 is an abundant number, since it is smaller than the sum of its proper divisors (179344048).

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

133546640 is a wasteful number, since it uses less digits than its factorization.

133546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12887 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 133546640 is about 11556.2381422330. The cubic root of 133546640 is about 511.1452412971.

The spelling of 133546640 in words is "one hundred thirty-three million, five hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 12743 25486 50972 63715 101944 127430 203888 254860 509720 1019440 1669333 3338666 6677332 8346665 13354664 16693330 26709328 33386660 66773320 133546640