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133052240 = 24523167433
BaseRepresentation
bin1111110111000…
…11011101010000
3100021100202100202
413323203131100
5233030132430
621111434332
73203632256
oct773433520
9307322322
10133052240
1169117132
12386859a8
1321746b49
14139565d6
15ba32d45
hex7ee3750

133052240 has 80 divisors (see below), whose sum is σ = 325479168. Its totient is φ = 50485248.

The previous prime is 133052239. The next prime is 133052243. The reversal of 133052240 is 42250331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133052243) 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, 307064 + ... + 307496.

Almost surely, 2133052240 is an apocalyptic number.

133052240 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 133052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739584).

133052240 is an abundant number, since it is smaller than the sum of its proper divisors (192426928).

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

133052240 is a wasteful number, since it uses less digits than its factorization.

133052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 133052240 is about 11534.8272635528. The cubic root of 133052240 is about 510.5136948921.

The spelling of 133052240 in words is "one hundred thirty-three million, fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 167 184 230 334 368 433 460 668 835 866 920 1336 1670 1732 1840 2165 2672 3340 3464 3841 4330 6680 6928 7682 8660 9959 13360 15364 17320 19205 19918 30728 34640 38410 39836 49795 61456 72311 76820 79672 99590 144622 153640 159344 199180 289244 307280 361555 398360 578488 723110 796720 1156976 1446220 1663153 2892440 3326306 5784880 6652612 8315765 13305224 16631530 26610448 33263060 66526120 133052240