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133094780 = 225721331337
BaseRepresentation
bin1111110111011…
…01110101111100
3100021102220201022
413323231311330
5233033013110
621112403312
73204200300
oct773556574
9307386638
10133094780
1169146095
12386a6538
1321760310
1413967d00
15ba40755
hex7eedd7c

133094780 has 144 divisors (see below), whose sum is σ = 362509056. Its totient is φ = 40642560.

The previous prime is 133094779. The next prime is 133094803. The reversal of 133094780 is 87490331.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 133094780.

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, 394772 + ... + 395108.

It is an arithmetic number, because the mean of its divisors is an integer number (2517424).

Almost surely, 2133094780 is an apocalyptic number.

133094780 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 133094780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181254528).

133094780 is an abundant number, since it is smaller than the sum of its proper divisors (229414276).

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

133094780 is a wasteful number, since it uses less digits than its factorization.

133094780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 133094780 is about 11536.6710969846. The cubic root of 133094780 is about 510.5680969287.

The spelling of 133094780 in words is "one hundred thirty-three million, ninety-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 49 52 62 65 70 91 98 124 130 140 155 182 196 217 245 260 310 337 364 403 434 455 490 620 637 674 806 868 910 980 1085 1274 1348 1519 1612 1685 1820 2015 2170 2359 2548 2821 3038 3185 3370 4030 4340 4381 4718 5642 6076 6370 6740 7595 8060 8762 9436 10447 11284 11795 12740 14105 15190 16513 17524 19747 20894 21905 23590 28210 30380 30667 33026 39494 41788 43810 47180 52235 56420 61334 66052 73129 78988 82565 87620 98735 104470 122668 135811 146258 153335 165130 197470 208940 214669 271622 292516 306670 330260 365645 394940 429338 511903 543244 613340 679055 731290 858676 950677 1023806 1073345 1358110 1462580 1901354 2047612 2146690 2559515 2716220 3802708 4293380 4753385 5119030 6654739 9506770 10238060 13309478 19013540 26618956 33273695 66547390 133094780