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133244320 = 2551175707
BaseRepresentation
bin1111111000100…
…10010110100000
3100021201111211211
413330102112200
5233102304240
621115515504
73205362256
oct774222640
9307644754
10133244320
1169238480
1238758b94
13217b33c1
14139a65d6
15ba6ebea
hex7f125a0

133244320 has 48 divisors (see below), whose sum is σ = 343411488. Its totient is φ = 48451840.

The previous prime is 133244281. The next prime is 133244327. The reversal of 133244320 is 23442331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 133244291 and 133244300.

It is not an unprimeable number, because it can be changed into a prime (133244327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36094 + ... + 39613.

It is an arithmetic number, because the mean of its divisors is an integer number (7154406).

Almost surely, 2133244320 is an apocalyptic number.

133244320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133244320 is an abundant number, since it is smaller than the sum of its proper divisors (210167168).

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

133244320 is a wasteful number, since it uses less digits than its factorization.

133244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75733 (or 75725 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 133244320 is about 11543.1503498828. The cubic root of 133244320 is about 510.7592433591.

Adding to 133244320 its reverse (23442331), we get a palindrome (156686651).

The spelling of 133244320 in words is "one hundred thirty-three million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 75707 151414 302828 378535 605656 757070 832777 1211312 1514140 1665554 2422624 3028280 3331108 4163885 6056560 6662216 8327770 12113120 13324432 16655540 26648864 33311080 66622160 133244320