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133015520 = 2551175577
BaseRepresentation
bin1111110110110…
…10011111100000
3100021021212222202
413323122133200
5233022444040
621110552332
73203420231
oct773323740
9307255882
10133015520
11690a1590
12386686a8
1321733211
1413947088
15ba27015
hex7eda7e0

133015520 has 48 divisors (see below), whose sum is σ = 342821808. Its totient is φ = 48368640.

The previous prime is 133015501. The next prime is 133015543. The reversal of 133015520 is 25510331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133015492 and 133015501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36029 + ... + 39548.

It is an arithmetic number, because the mean of its divisors is an integer number (7142121).

Almost surely, 2133015520 is an apocalyptic number.

133015520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133015520 is an abundant number, since it is smaller than the sum of its proper divisors (209806288).

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

133015520 is a wasteful number, since it uses less digits than its factorization.

133015520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75603 (or 75595 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 133015520 is about 11533.2354523785. The cubic root of 133015520 is about 510.4667264040.

Adding to 133015520 its reverse (25510331), we get a palindrome (158525851).

The spelling of 133015520 in words is "one hundred thirty-three million, fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 75577 151154 302308 377885 604616 755770 831347 1209232 1511540 1662694 2418464 3023080 3325388 4156735 6046160 6650776 8313470 12092320 13301552 16626940 26603104 33253880 66507760 133015520