Search a number
-
+
133021240 = 235111492029
BaseRepresentation
bin1111110110110…
…11111000111000
3100021022011211121
413323123320320
5233023134430
621111035024
73203443012
oct773337070
9307264747
10133021240
11690a5910
123866ba74
13217359c1
14139491b2
15ba28a7a
hex7edbe38

133021240 has 64 divisors (see below), whose sum is σ = 328860000. Its totient is φ = 48023040.

The previous prime is 133021237. The next prime is 133021249. The reversal of 133021240 is 42120331.

It is a happy number.

It is a super-2 number, since 2×1330212402 = 35389300582275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133021249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64546 + ... + 66574.

Almost surely, 2133021240 is an apocalyptic number.

133021240 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 133021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164430000).

133021240 is an abundant number, since it is smaller than the sum of its proper divisors (195838760).

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

133021240 is a wasteful number, since it uses less digits than its factorization.

133021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 133021240 is about 11533.4834286958. The cubic root of 133021240 is about 510.4740434144.

Adding to 133021240 its reverse (42120331), we get a palindrome (175141571).

Subtracting from 133021240 its reverse (42120331), we obtain a palindrome (90900909).

The spelling of 133021240 in words is "one hundred thirty-three million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 149 220 298 440 596 745 1192 1490 1639 2029 2980 3278 4058 5960 6556 8116 8195 10145 13112 16232 16390 20290 22319 32780 40580 44638 65560 81160 89276 111595 178552 223190 302321 446380 604642 892760 1209284 1511605 2418568 3023210 3325531 6046420 6651062 12092840 13302124 16627655 26604248 33255310 66510620 133021240