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641461020 = 223516276571
BaseRepresentation
bin100110001110111…
…110101100011100
31122201000121002120
4212032332230130
52303203223040
6143352422540
721616220514
oct4616765434
91581017076
10641461020
112aa0a7182
1215a9a7a50
13a2b84445
146129a844
153b4ac7d0
hex263beb1c

641461020 has 48 divisors (see below), whose sum is σ = 1797468288. Its totient is φ = 170925120.

The previous prime is 641461013. The next prime is 641461027. The reversal of 641461020 is 20164146.

It is an interprime number because it is at equal distance from previous prime (641461013) and next prime (641461027).

It is a super-2 number, since 2×6414610202 = 822944480358880800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641461027) 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, 94335 + ... + 100905.

It is an arithmetic number, because the mean of its divisors is an integer number (37447256).

Almost surely, 2641461020 is an apocalyptic number.

641461020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641461020 is an abundant number, since it is smaller than the sum of its proper divisors (1156007268).

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

641461020 is a wasteful number, since it uses less digits than its factorization.

641461020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 641461020 is about 25327.0807634832. The cubic root of 641461020 is about 862.4291426772.

The spelling of 641461020 in words is "six hundred forty-one million, four hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1627 3254 4881 6508 6571 8135 9762 13142 16270 19524 19713 24405 26284 32540 32855 39426 48810 65710 78852 97620 98565 131420 197130 394260 10691017 21382034 32073051 42764068 53455085 64146102 106910170 128292204 160365255 213820340 320730510 641461020