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361141660 = 2251110116253
BaseRepresentation
bin10101100001101…
…001010110011100
3221011112220020001
4111201221112130
51214423013120
655500304044
711643440065
oct2541512634
9834486201
10361141660
11175945090
12a0b42024
1359a875b9
1435d6b56c
1521a89e0a
hex1586959c

361141660 has 48 divisors (see below), whose sum is σ = 835585632. Its totient is φ = 130016000.

The previous prime is 361141657. The next prime is 361141673. The reversal of 361141660 is 66141163.

361141660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14094 + ... + 30346.

It is an arithmetic number, because the mean of its divisors is an integer number (17408034).

Almost surely, 2361141660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361141660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417792816).

361141660 is an abundant number, since it is smaller than the sum of its proper divisors (474443972).

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

361141660 is a wasteful number, since it uses less digits than its factorization.

361141660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16374 (or 16372 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 361141660 is about 19003.7275290928. The cubic root of 361141660 is about 712.1298604822.

The spelling of 361141660 in words is "three hundred sixty-one million, one hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 16253 22220 32506 65012 81265 162530 178783 325060 357566 715132 893915 1641553 1787830 3283106 3575660 6566212 8207765 16415530 18057083 32831060 36114166 72228332 90285415 180570830 361141660