Search a number
-
+
133250700 = 2235211149271
BaseRepresentation
bin1111111000100…
…11111010001100
3100021201211121010
413330103322030
5233103010300
621120005220
73205420002
oct774237214
9307654533
10133250700
1169242250
1238760810
13217b628b
14139a8a72
15ba71a50
hex7f13e8c

133250700 has 144 divisors (see below), whose sum is σ = 424972800. Its totient is φ = 31968000.

The previous prime is 133250693. The next prime is 133250701. The reversal of 133250700 is 7052331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133250701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491565 + ... + 491835.

It is an arithmetic number, because the mean of its divisors is an integer number (2951200).

Almost surely, 2133250700 is an apocalyptic number.

133250700 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 133250700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

133250700 is an abundant number, since it is smaller than the sum of its proper divisors (291722100).

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

133250700 is a wasteful number, since it uses less digits than its factorization.

133250700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 133250700 is about 11543.4267009411. The cubic root of 133250700 is about 510.7673952812.

The spelling of 133250700 in words is "one hundred thirty-three million, two hundred fifty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 149 150 165 220 271 275 298 300 330 447 542 550 596 660 745 813 825 894 1084 1100 1355 1490 1626 1639 1650 1788 2235 2710 2980 2981 3252 3278 3300 3725 4065 4470 4917 5420 5962 6556 6775 7450 8130 8195 8940 8943 9834 11175 11924 13550 14900 14905 16260 16390 17886 19668 20325 22350 24585 27100 29810 32780 35772 40379 40650 40975 44700 44715 49170 59620 74525 80758 81300 81950 89430 98340 121137 122925 149050 161516 163900 178860 201895 223575 242274 245850 298100 403790 444169 447150 484548 491700 605685 807580 888338 894300 1009475 1211370 1332507 1776676 2018950 2220845 2422740 2665014 3028425 4037900 4441690 5330028 6056850 6662535 8883380 11104225 12113700 13325070 22208450 26650140 33312675 44416900 66625350 133250700