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3968261190 = 232559973609
BaseRepresentation
bin1110110010000110…
…1101110001000110
3101020112222112222200
43230201231301012
531111333324230
61453433335330
7200223443415
oct35441556106
911215875880
103968261190
111756a86403
12928b67546
134b318b15a
1429905147c
151835a6160
hexec86dc46

3968261190 has 48 divisors (see below), whose sum is σ = 10334844000. Its totient is φ = 1056422016.

The previous prime is 3968261179. The next prime is 3968261191. The reversal of 3968261190 is 911628693.

It is a happy number.

3968261190 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39682611902 = 31494193744120432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968261191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17106 + ... + 90714.

It is an arithmetic number, because the mean of its divisors is an integer number (215309250).

Almost surely, 23968261190 is an apocalyptic number.

3968261190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3968261190 is an abundant number, since it is smaller than the sum of its proper divisors (6366582810).

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

3968261190 is a wasteful number, since it uses less digits than its factorization.

3968261190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74221 (or 74218 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 3968261190 is about 62994.1361556772. The cubic root of 3968261190 is about 1583.1913797266.

The spelling of 3968261190 in words is "three billion, nine hundred sixty-eight million, two hundred sixty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 599 1198 1797 2995 3594 5391 5990 8985 10782 17970 26955 53910 73609 147218 220827 368045 441654 662481 736090 1104135 1324962 2208270 3312405 6624810 44091791 88183582 132275373 220458955 264550746 396826119 440917910 661376865 793652238 1322753730 1984130595 3968261190