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465368190 = 23572316577
BaseRepresentation
bin11011101111001…
…111010001111110
31012102200011010220
4123233033101332
51423113240230
6114102242210
714350364400
oct3357172176
91172604126
10465368190
11219763011
1210ba26366
137554aac1
1445b3cb70
152acc6d10
hex1bbcf47e

465368190 has 48 divisors (see below), whose sum is σ = 1299236112. Its totient is φ = 106369536.

The previous prime is 465368161. The next prime is 465368201. The reversal of 465368190 is 91863564.

It is a super-2 number, since 2×4653681902 = 433135104527752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156819 + ... + 159758.

It is an arithmetic number, because the mean of its divisors is an integer number (27067419).

Almost surely, 2465368190 is an apocalyptic number.

465368190 is an abundant number, since it is smaller than the sum of its proper divisors (833867922).

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

465368190 is a wasteful number, since it uses less digits than its factorization.

465368190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316601 (or 316594 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 465368190 is about 21572.3941647653. The cubic root of 465368190 is about 774.9355145790.

The spelling of 465368190 in words is "four hundred sixty-five million, three hundred sixty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 316577 633154 949731 1582885 1899462 2216039 3165770 4432078 4748655 6648117 9497310 11080195 13296234 15512273 22160390 31024546 33240585 46536819 66481170 77561365 93073638 155122730 232684095 465368190