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133874370 = 2345723373
BaseRepresentation
bin1111111101011…
…00001011000010
3100022220112010000
413332230023002
5233232434440
621141220430
73213625200
oct776541302
9308815100
10133874370
1169628883
1238a01716
1321974106
1413acc070
15bb46730
hex7fac2c2

133874370 has 120 divisors (see below), whose sum is σ = 418868604. Its totient is φ = 30590784.

The previous prime is 133874369. The next prime is 133874459. The reversal of 133874370 is 73478331.

It can be written as a sum of positive squares in 2 ways, for example, as 124344801 + 9529569 = 11151^2 + 3087^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38004 + ... + 41376.

Almost surely, 2133874370 is an apocalyptic number.

133874370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133874370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209434302).

133874370 is an abundant number, since it is smaller than the sum of its proper divisors (284994234).

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

133874370 is a wasteful number, since it uses less digits than its factorization.

133874370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 133874370 is about 11570.4092408177. The cubic root of 133874370 is about 511.5630248877.

It can be divided in two parts, 133 and 874370, that added together give a triangular number (874503 = T1322).

The spelling of 133874370 in words is "one hundred thirty-three million, eight hundred seventy-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3373 3969 4410 5670 6615 6746 7938 10119 13230 16865 19845 20238 23611 30357 33730 39690 47222 50595 60714 70833 91071 101190 118055 141666 151785 165277 182142 212499 236110 273213 303570 330554 354165 424998 455355 495831 546426 637497 708330 826385 910710 991662 1062495 1274994 1366065 1487493 1652770 1912491 2124990 2479155 2732130 2974986 3187485 3824982 4462479 4958310 6374970 7437465 8924958 9562455 13387437 14874930 19124910 22312395 26774874 44624790 66937185 133874370