Search a number
-
+
133802760 = 233571312253
BaseRepresentation
bin1111111100110…
…10101100001000
3100022202212212210
413332122230020
5233223142020
621135505120
73213206340
oct776325410
9308685783
10133802760
1169589aa3
12389881a0
132194a640
1413aadd20
15bb303e0
hex7f9ab08

133802760 has 128 divisors (see below), whose sum is σ = 494081280. Its totient is φ = 28228608.

The previous prime is 133802729. The next prime is 133802771. The reversal of 133802760 is 67208331.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4794 + ... + 17046.

It is an arithmetic number, because the mean of its divisors is an integer number (3860010).

Almost surely, 2133802760 is an apocalyptic number.

133802760 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 133802760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247040640).

133802760 is an abundant number, since it is smaller than the sum of its proper divisors (360278520).

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

133802760 is a wasteful number, since it uses less digits than its factorization.

133802760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12287 (or 12283 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 133802760 is about 11567.3142950298. The cubic root of 133802760 is about 511.4717961686.

The spelling of 133802760 in words is "one hundred thirty-three million, eight hundred two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 12253 24506 36759 49012 61265 73518 85771 98024 122530 147036 159289 171542 183795 245060 257313 294072 318578 343084 367590 428855 477867 490120 514626 637156 686168 735180 796445 857710 955734 1029252 1115023 1274312 1286565 1470360 1592890 1715420 1911468 2058504 2230046 2389335 2573130 3185780 3345069 3430840 3822936 4460092 4778670 5146260 5575115 6371560 6690138 8920184 9557340 10292520 11150230 13380276 16725345 19114680 22300460 26760552 33450690 44600920 66901380 133802760