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120041264 = 2471099833
BaseRepresentation
bin1110010011110…
…10111100110000
322100212201122202
413021322330300
5221212310024
615524522332
72655222350
oct711727460
9270781582
10120041264
116183a862
12342503a8
131bb3c945
1411d2ab60
15a812bae
hex727af30

120041264 has 40 divisors (see below), whose sum is σ = 268271520. Its totient is φ = 50969088.

The previous prime is 120041263. The next prime is 120041281. The reversal of 120041264 is 462140021.

It is not an unprimeable number, because it can be changed into a prime (120041263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7292 + ... + 17124.

It is an arithmetic number, because the mean of its divisors is an integer number (6706788).

Almost surely, 2120041264 is an apocalyptic number.

120041264 is a gapful number since it is divisible by the number (14) 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 120041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134135760).

120041264 is an abundant number, since it is smaller than the sum of its proper divisors (148230256).

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

120041264 is a wasteful number, since it uses less digits than its factorization.

120041264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9957 (or 9951 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 120041264 is about 10956.3344235196. The cubic root of 120041264 is about 493.2989449287.

Adding to 120041264 its reverse (462140021), we get a palindrome (582181285).

The spelling of 120041264 in words is "one hundred twenty million, forty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 436 763 872 1526 1744 3052 6104 9833 12208 19666 39332 68831 78664 137662 157328 275324 550648 1071797 1101296 2143594 4287188 7502579 8574376 15005158 17148752 30010316 60020632 120041264