Search a number
-
+
63123420 = 22351576701
BaseRepresentation
bin1111000011001…
…0111111011100
311101210000001110
43300302333130
5112124422140
610132542020
71364353203
oct360627734
9141700043
1063123420
11326a4618
1219181910
1310101849
14855223a
15581d380
hex3c32fdc

63123420 has 48 divisors (see below), whose sum is σ = 177897888. Its totient is φ = 16723200.

The previous prime is 63123413. The next prime is 63123427. The reversal of 63123420 is 2432136.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (63123413) and next prime (63123427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63123427) 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, 6070 + ... + 12770.

It is an arithmetic number, because the mean of its divisors is an integer number (3706206).

Almost surely, 263123420 is an apocalyptic number.

63123420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88948944).

63123420 is an abundant number, since it is smaller than the sum of its proper divisors (114774468).

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

63123420 is a wasteful number, since it uses less digits than its factorization.

63123420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 63123420 is about 7945.0248583626. The cubic root of 63123420 is about 398.1653900469.

Adding to 63123420 its reverse (2432136), we get a palindrome (65555556).

The spelling of 63123420 in words is "sixty-three million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 6701 9420 13402 20103 26804 33505 40206 67010 80412 100515 134020 201030 402060 1052057 2104114 3156171 4208228 5260285 6312342 10520570 12624684 15780855 21041140 31561710 63123420