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133275324 = 223713312127
BaseRepresentation
bin1111111000110…
…01111010111100
3100021210002101010
413330121322330
5233104302244
621120315220
73205551540
oct774317274
9307702333
10133275324
11692597a6
1238772b10
13217c4550
14139b3a20
15ba78eb9
hex7f19ebc

133275324 has 144 divisors (see below), whose sum is σ = 398598144. Its totient is φ = 33747840.

The previous prime is 133275319. The next prime is 133275343. The reversal of 133275324 is 423572331.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (15120) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 133275291 and 133275300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049349 + ... + 1049475.

Almost surely, 2133275324 is an apocalyptic number.

133275324 is a gapful number since it is divisible by the number (14) 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 133275324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199299072).

133275324 is an abundant number, since it is smaller than the sum of its proper divisors (265322820).

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

133275324 is a wasteful number, since it uses less digits than its factorization.

133275324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 183 counting only the distinct ones).

The product of its digits is 15120, while the sum is 30.

The square root of 133275324 is about 11544.4932327062. The cubic root of 133275324 is about 510.7988556830.

The spelling of 133275324 in words is "one hundred thirty-three million, two hundred seventy-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 127 156 182 186 217 254 273 364 372 381 403 434 508 546 651 762 806 868 889 961 1092 1209 1302 1524 1612 1651 1778 1922 2418 2604 2667 2821 2883 3302 3556 3844 3937 4836 4953 5334 5642 5766 6604 6727 7874 8463 9906 10668 11284 11532 11557 11811 12493 13454 15748 16926 19812 20181 23114 23622 24986 26908 27559 33852 34671 37479 40362 46228 47244 49972 51181 55118 69342 74958 80724 82677 87451 102362 110236 122047 138684 149916 153543 165354 174902 204724 244094 262353 307086 330708 349804 358267 366141 488188 524706 614172 716534 732282 854329 1049412 1074801 1433068 1464564 1586611 1708658 2149602 2562987 3173222 3417316 4299204 4759833 5125974 6346444 9519666 10251948 11106277 19039332 22212554 33318831 44425108 66637662 133275324