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12630450 = 2352723523
BaseRepresentation
bin110000001011…
…100110110010
3212202200201110
4300023212302
511213133300
61130414150
7212233320
oct60134662
925680643
1012630450
117147498
124291356
132802c51
14196ad10
151197550
hexc0b9b2

12630450 has 96 divisors (see below), whose sum is σ = 37426176. Its totient is φ = 2756160.

The previous prime is 12630407. The next prime is 12630461. The reversal of 12630450 is 5403621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23889 + ... + 24411.

It is an arithmetic number, because the mean of its divisors is an integer number (389856).

Almost surely, 212630450 is an apocalyptic number.

12630450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12630450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18713088).

12630450 is an abundant number, since it is smaller than the sum of its proper divisors (24795726).

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

12630450 is a wasteful number, since it uses less digits than its factorization.

12630450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12630450 is about 3553.9344394628. The cubic root of 12630450 is about 232.8839764470.

The spelling of 12630450 in words is "twelve million, six hundred thirty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 115 138 150 161 175 210 230 322 345 350 483 523 525 575 690 805 966 1046 1050 1150 1569 1610 1725 2415 2615 3138 3450 3661 4025 4830 5230 7322 7845 8050 10983 12029 12075 13075 15690 18305 21966 24058 24150 26150 36087 36610 39225 54915 60145 72174 78450 84203 91525 109830 120290 168406 180435 183050 252609 274575 300725 360870 421015 505218 549150 601450 842030 902175 1263045 1804350 2105075 2526090 4210150 6315225 12630450