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133326540 = 22335376673
BaseRepresentation
bin1111111001001…
…10011011001100
3100021212200122000
413330212123030
5233112422130
621121352300
73206154054
oct774463314
9307780560
10133326540
1169294226
1238798690
1321811959
14139c8564
15ba89260
hex7f266cc

133326540 has 96 divisors (see below), whose sum is σ = 426068160. Its totient is φ = 34587648.

The previous prime is 133326527. The next prime is 133326559. The reversal of 133326540 is 45623331.

It is a happy number.

133326540 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 654 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16644 + ... + 23316.

It is an arithmetic number, because the mean of its divisors is an integer number (4438210).

Almost surely, 2133326540 is an apocalyptic number.

133326540 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 133326540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213034080).

133326540 is an abundant number, since it is smaller than the sum of its proper divisors (292741620).

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

133326540 is a wasteful number, since it uses less digits than its factorization.

133326540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 133326540 is about 11546.7112200834. The cubic root of 133326540 is about 510.8642784560.

Adding to 133326540 its reverse (45623331), we get a palindrome (178949871).

The spelling of 133326540 in words is "one hundred thirty-three million, three hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 6673 9990 13346 19980 20019 26692 33365 40038 60057 66730 80076 100095 120114 133460 180171 200190 240228 246901 300285 360342 400380 493802 600570 720684 740703 900855 987604 1201140 1234505 1481406 1801710 2222109 2469010 2962812 3603420 3703515 4444218 4938020 6666327 7407030 8888436 11110545 13332654 14814060 22221090 26665308 33331635 44442180 66663270 133326540