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133182940 = 2251179297
BaseRepresentation
bin1111111000000…
…11010111011100
3100021121101122111
413330003113130
5233043323230
621114323404
73205015312
oct774032734
9307541574
10133182940
11691a6350
1238729564
1321791497
141398c0b2
15ba5b92a
hex7f035dc

133182940 has 72 divisors (see below), whose sum is σ = 312206832. Its totient is φ = 47324160.

The previous prime is 133182923. The next prime is 133182953. The reversal of 133182940 is 49281331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1372972 + ... + 1373068.

It is an arithmetic number, because the mean of its divisors is an integer number (4336206).

Almost surely, 2133182940 is an apocalyptic number.

133182940 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 133182940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156103416).

133182940 is an abundant number, since it is smaller than the sum of its proper divisors (179023892).

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

133182940 is a wasteful number, since it uses less digits than its factorization.

133182940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 133182940 is about 11540.4913240295. The cubic root of 133182940 is about 510.6808029485.

The spelling of 133182940 in words is "one hundred thirty-three million, one hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 97 110 158 194 220 316 388 395 485 790 869 970 1067 1580 1738 1940 2134 3476 4268 4345 5335 6241 7663 8690 10670 12482 15326 17380 21340 24964 30652 31205 38315 62410 68651 76630 84293 124820 137302 153260 168586 274604 337172 343255 421465 605377 686510 842930 1210754 1373020 1685860 2421508 3026885 6053770 6659147 12107540 13318294 26636588 33295735 66591470 133182940