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450123630 = 235112124001
BaseRepresentation
bin11010110101000…
…101011101101110
31011100222122112120
4122311011131232
51410212424010
6112355413410
714103662535
oct3265053556
91140878476
10450123630
112110a0600
121068b4266
1372341058
1443ad131c
15297b4e70
hex1ad4576e

450123630 has 48 divisors (see below), whose sum is σ = 1187443152. Its totient is φ = 109120000.

The previous prime is 450123607. The next prime is 450123631. The reversal of 450123630 is 36321054.

It is a happy number.

It is a super-2 number, since 2×4501236302 = 405222564568753800, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 450123630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450123631) 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 23 ways as a sum of consecutive naturals, for example, 58371 + ... + 65630.

It is an arithmetic number, because the mean of its divisors is an integer number (24738399).

Almost surely, 2450123630 is an apocalyptic number.

450123630 is an abundant number, since it is smaller than the sum of its proper divisors (737319522).

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

450123630 is a wasteful number, since it uses less digits than its factorization.

450123630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124033 (or 124022 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 450123630 is about 21216.1172225268. The cubic root of 450123630 is about 766.3796028828.

Adding to 450123630 its reverse (36321054), we get a palindrome (486444684).

The spelling of 450123630 in words is "four hundred fifty million, one hundred twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 124001 248002 372003 620005 744006 1240010 1364011 1860015 2728022 3720030 4092033 6820055 8184066 13640110 15004121 20460165 30008242 40920330 45012363 75020605 90024726 150041210 225061815 450123630