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641442120 = 233511485941
BaseRepresentation
bin100110001110111…
…010000101001000
31122200222122011120
4212032322011020
52303202121440
6143352155240
721616111434
oct4616720510
91580878146
10641442120
112aa093a60
1215a998b20
13a2b78967
14612939c4
153b4a6dd0
hex263ba148

641442120 has 64 divisors (see below), whose sum is σ = 2099269440. Its totient is φ = 155500800.

The previous prime is 641442103. The next prime is 641442133. The reversal of 641442120 is 21244146.

It is a happy number.

It is a super-2 number, since 2×6414421202 = 822895986620188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 241651 + ... + 244290.

It is an arithmetic number, because the mean of its divisors is an integer number (32801085).

Almost surely, 2641442120 is an apocalyptic number.

641442120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641442120 is an abundant number, since it is smaller than the sum of its proper divisors (1457827320).

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

641442120 is a wasteful number, since it uses less digits than its factorization.

641442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485966 (or 485962 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 641442120 is about 25326.7076423289. The cubic root of 641442120 is about 862.4206723933.

Adding to 641442120 its reverse (21244146), we get a palindrome (662686266).

The spelling of 641442120 in words is "six hundred forty-one million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 485941 971882 1457823 1943764 2429705 2915646 3887528 4859410 5345351 5831292 7289115 9718820 10690702 11662584 14578230 16036053 19437640 21381404 26726755 29156460 32072106 42762808 53453510 58312920 64144212 80180265 106907020 128288424 160360530 213814040 320721060 641442120