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133504512 = 293233779
BaseRepresentation
bin1111111010100…
…01111000000000
3100022012201202120
413331101320000
5233134121022
621125244240
73210524661
oct775217000
9308181676
10133504512
11693a5a09
1238863680
132187496b
1413a33368
15bac1d5c
hex7f51e00

133504512 has 80 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 42555392.

The previous prime is 133504499. The next prime is 133504531. The reversal of 133504512 is 215405331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 33439 + ... + 37217.

It is an arithmetic number, because the mean of its divisors is an integer number (4640328).

Almost surely, 2133504512 is an apocalyptic number.

133504512 is a gapful number since it is divisible by the number (12) 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 133504512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

133504512 is an abundant number, since it is smaller than the sum of its proper divisors (237721728).

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

133504512 is an equidigital number, since it uses as much as digits as its factorization.

133504512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 133504512 is about 11554.4152599775. The cubic root of 133504512 is about 511.0914878134.

Adding to 133504512 its reverse (215405331), we get a palindrome (348909843).

The spelling of 133504512 in words is "one hundred thirty-three million, five hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 3779 4416 5888 7558 8832 11337 11776 15116 17664 22674 30232 35328 45348 60464 86917 90696 120928 173834 181392 241856 260751 347668 362784 483712 521502 695336 725568 967424 1043004 1390672 1451136 1934848 2086008 2781344 2902272 4172016 5562688 5804544 8344032 11125376 16688064 22250752 33376128 44501504 66752256 133504512