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133752220 = 22572773449
BaseRepresentation
bin1111111100011…
…10010110011100
3100022200022112221
413332032112130
5233220032340
621134435124
73212606110
oct776162634
9308608487
10133752220
1169555028
1238962aa4
1321930634
1413a99740
15bb2044a
hex7f8e59c

133752220 has 48 divisors (see below), whose sum is σ = 322257600. Its totient is φ = 45679104.

The previous prime is 133752193. The next prime is 133752221. The reversal of 133752220 is 22257331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133752221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37056 + ... + 40504.

It is an arithmetic number, because the mean of its divisors is an integer number (6713700).

Almost surely, 2133752220 is an apocalyptic number.

133752220 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 133752220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161128800).

133752220 is an abundant number, since it is smaller than the sum of its proper divisors (188505380).

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

133752220 is a wasteful number, since it uses less digits than its factorization.

133752220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 133752220 is about 11565.1294847918. The cubic root of 133752220 is about 511.4073903225.

The spelling of 133752220 in words is "one hundred thirty-three million, seven hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 277 554 1108 1385 1939 2770 3449 3878 5540 6898 7756 9695 13796 17245 19390 24143 34490 38780 48286 68980 96572 120715 241430 482860 955373 1910746 3821492 4776865 6687611 9553730 13375222 19107460 26750444 33438055 66876110 133752220