Search a number
-
+
133266700 = 22527613121
BaseRepresentation
bin1111111000101…
…11110100001100
3100021202122112201
413330113310030
5233104013300
621120211244
73205514440
oct774276414
9307678481
10133266700
1169253276
1238769b24
13217c0648
14139b0820
15ba7666a
hex7f17d0c

133266700 has 72 divisors (see below), whose sum is σ = 336027104. Its totient is φ = 44928000.

The previous prime is 133266677. The next prime is 133266701. The reversal of 133266700 is 7662331.

It is a hoax number, since the sum of its digits (28) 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 (28).

It is not an unprimeable number, because it can be changed into a prime (133266701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41140 + ... + 44260.

Almost surely, 2133266700 is an apocalyptic number.

133266700 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 133266700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168013552).

133266700 is an abundant number, since it is smaller than the sum of its proper divisors (202760404).

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

133266700 is a wasteful number, since it uses less digits than its factorization.

133266700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 133266700 is about 11544.1197152490. The cubic root of 133266700 is about 510.7878378286.

The spelling of 133266700 in words is "one hundred thirty-three million, two hundred sixty-six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1708 2135 3050 3121 4270 6100 6242 8540 10675 12484 15605 21350 21847 31210 42700 43694 62420 78025 87388 109235 156050 190381 218470 312100 380762 436940 546175 761524 951905 1092350 1332667 1903810 2184700 2665334 3807620 4759525 5330668 6663335 9519050 13326670 19038100 26653340 33316675 66633350 133266700