Search a number
-
+
133065700 = 225210312919
BaseRepresentation
bin1111110111001…
…10101111100100
3100021101102211021
413323212233210
5233031100300
621112020524
73204016435
oct773465744
9307342737
10133065700
1169126259
1238691744
1321750001
141395b48c
15ba36d1a
hex7ee6be4

133065700 has 36 divisors (see below), whose sum is σ = 291578560. Its totient is φ = 52705440.

The previous prime is 133065697. The next prime is 133065701. The reversal of 133065700 is 7560331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133065701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3841 + ... + 16759.

Almost surely, 2133065700 is an apocalyptic number.

133065700 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 133065700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145789280).

133065700 is an abundant number, since it is smaller than the sum of its proper divisors (158512860).

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

133065700 is a wasteful number, since it uses less digits than its factorization.

133065700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13036 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 133065700 is about 11535.4106992339. The cubic root of 133065700 is about 510.5309093903.

The spelling of 133065700 in words is "one hundred thirty-three million, sixty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300 12919 25838 51676 64595 129190 258380 322975 645950 1291900 1330657 2661314 5322628 6653285 13306570 26613140 33266425 66532850 133065700