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133214940 = 223251494967
BaseRepresentation
bin1111111000010…
…11001011011100
3100021200000112200
413330023023130
5233100334230
621115131500
73205210515
oct774131334
9307600480
10133214940
11692183a1
1238743b90
13217a2c11
1413999a0c
15ba66160
hex7f0b2dc

133214940 has 72 divisors (see below), whose sum is σ = 406879200. Its totient is φ = 35278464.

The previous prime is 133214929. The next prime is 133214953. The reversal of 133214940 is 49412331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24337 + ... + 29303.

It is an arithmetic number, because the mean of its divisors is an integer number (5651100).

Almost surely, 2133214940 is an apocalyptic number.

133214940 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 133214940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203439600).

133214940 is an abundant number, since it is smaller than the sum of its proper divisors (273664260).

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

133214940 is a wasteful number, since it uses less digits than its factorization.

133214940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133214940 is about 11541.8776635346. The cubic root of 133214940 is about 510.7217002712.

The spelling of 133214940 in words is "one hundred thirty-three million, two hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1341 1490 1788 2235 2682 2980 4470 4967 5364 6705 8940 9934 13410 14901 19868 24835 26820 29802 44703 49670 59604 74505 89406 99340 149010 178812 223515 298020 447030 740083 894060 1480166 2220249 2960332 3700415 4440498 6660747 7400830 8880996 11101245 13321494 14801660 22202490 26642988 33303735 44404980 66607470 133214940