Search a number
-
+
133333640 = 235111941389
BaseRepresentation
bin1111111001010…
…00001010001000
3100021220001100222
413330220022020
5233113134030
621121445212
73206213546
oct774501210
9307801328
10133333640
11692995a0
12387a0808
1321814c5b
14139cad96
15ba8b3e5
hex7f28288

133333640 has 128 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 44697600.

The previous prime is 133333609. The next prime is 133333667. The reversal of 133333640 is 46333331.

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, 342566 + ... + 342954.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2133333640 is an apocalyptic number.

133333640 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 133333640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

133333640 is an abundant number, since it is smaller than the sum of its proper divisors (220474360).

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

133333640 is a wasteful number, since it uses less digits than its factorization.

133333640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

The square root of 133333640 is about 11547.0186628411. The cubic root of 133333640 is about 510.8733465980.

Adding to 133333640 its reverse (46333331), we get a palindrome (179666971).

The spelling of 133333640 in words is "one hundred thirty-three million, three hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 41 44 55 76 82 88 95 110 152 164 190 205 209 220 328 380 389 410 418 440 451 760 778 779 820 836 902 1045 1556 1558 1640 1672 1804 1945 2090 2255 3112 3116 3608 3890 3895 4180 4279 4510 6232 7391 7780 7790 8360 8558 8569 9020 14782 15560 15580 15949 17116 17138 18040 21395 29564 31160 31898 34232 34276 36955 42790 42845 59128 63796 68552 73910 79745 81301 85580 85690 127592 147820 159490 162602 171160 171380 175439 295640 303031 318980 325204 342760 350878 406505 606062 637960 650408 701756 813010 877195 1212124 1403512 1515155 1626020 1754390 2424248 3030310 3252040 3333341 3508780 6060620 6666682 7017560 12121240 13333364 16666705 26666728 33333410 66666820 133333640