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641195940 = 223571133137
BaseRepresentation
bin100110001101111…
…101111110100100
31122200112010110210
4212031331332210
52303121232230
6143343015420
721614034630
oct4615757644
91580463423
10641195940
112a9a36000
1215a89a570
13a2ac08a8
146122bdc0
153b458eb0
hex2637dfa4

641195940 has 384 divisors, whose sum is σ = 2392621056. Its totient is φ = 125452800.

The previous prime is 641195911. The next prime is 641195993. The reversal of 641195940 is 49591146.

It is a super-2 number, since 2×6411959402 = 822264466944967200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17329602 + ... + 17329638.

It is an arithmetic number, because the mean of its divisors is an integer number (6230784).

Almost surely, 2641195940 is an apocalyptic number.

641195940 is a gapful number since it is divisible by the number (60) 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 641195940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196310528).

641195940 is an abundant number, since it is smaller than the sum of its proper divisors (1751425116).

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

641195940 is a wasteful number, since it uses less digits than its factorization.

641195940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 641195940 is about 25321.8470890257. The cubic root of 641195940 is about 862.3103283829.

The spelling of 641195940 in words is "six hundred forty-one million, one hundred ninety-five thousand, nine hundred forty".