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361081020 = 223517354001
BaseRepresentation
bin10101100001011…
…010100010111100
3221011102211001010
4111201122202330
51214414043040
655455115220
711643065226
oct2541324274
9834384033
10361081020
11175903573
12a0b12b10
1359a65b11
1435d53416
1521a76e80
hex1585a8bc

361081020 has 48 divisors (see below), whose sum is σ = 1070502048. Its totient is φ = 90624000.

The previous prime is 361080989. The next prime is 361081027. The reversal of 361081020 is 20180163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361081027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175981 + ... + 178020.

It is an arithmetic number, because the mean of its divisors is an integer number (22302126).

Almost surely, 2361081020 is an apocalyptic number.

361081020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361081020 is an abundant number, since it is smaller than the sum of its proper divisors (709421028).

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

361081020 is a wasteful number, since it uses less digits than its factorization.

361081020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354030 (or 354028 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 361081020 is about 19002.1319856483. The cubic root of 361081020 is about 712.0899998801.

It can be divided in two parts, 36108 and 1020, that added together give a triangular number (37128 = T272).

The spelling of 361081020 in words is "three hundred sixty-one million, eighty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 354001 708002 1062003 1416004 1770005 2124006 3540010 4248012 5310015 6018017 7080020 10620030 12036034 18054051 21240060 24072068 30090085 36108102 60180170 72216204 90270255 120360340 180540510 361081020