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133132020 = 2235736469
BaseRepresentation
bin1111110111101…
…10111011110100
3100021111210210120
413323312323310
5233040211040
621113251540
73204414000
oct773667364
9307453716
10133132020
116917106a
1238703bb0
1321774258
1413977700
15ba4b7d0
hex7ef6ef4

133132020 has 96 divisors (see below), whose sum is σ = 434784000. Its totient is φ = 30425472.

The previous prime is 133132003. The next prime is 133132033. The reversal of 133132020 is 20231331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 17346 + ... + 23814.

It is an arithmetic number, because the mean of its divisors is an integer number (4529000).

Almost surely, 2133132020 is an apocalyptic number.

133132020 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 133132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217392000).

133132020 is an abundant number, since it is smaller than the sum of its proper divisors (301651980).

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

133132020 is a wasteful number, since it uses less digits than its factorization.

133132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133132020 is about 11538.2849678798. The cubic root of 133132020 is about 510.6157115756.

Adding to 133132020 its reverse (20231331), we get a palindrome (153363351).

The spelling of 133132020 in words is "one hundred thirty-three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3430 4116 5145 6469 6860 10290 12938 19407 20580 25876 32345 38814 45283 64690 77628 90566 97035 129380 135849 181132 194070 226415 271698 316981 388140 452830 543396 633962 679245 905660 950943 1267924 1358490 1584905 1901886 2218867 2716980 3169810 3803772 4437734 4754715 6339620 6656601 8875468 9509430 11094335 13313202 19018860 22188670 26626404 33283005 44377340 66566010 133132020