Search a number
-
+
63023120 = 2456411229
BaseRepresentation
bin1111000001101…
…0100000010000
311101120220110122
43300122200100
5112113214440
610130445412
71363454606
oct360324020
9141526418
1063023120
1132636226
1219133868
1310097cb4
148527876
1557ed7b5
hex3c1a810

63023120 has 40 divisors (see below), whose sum is σ = 146876760. Its totient is φ = 25149440.

The previous prime is 63023117. The next prime is 63023123. The reversal of 63023120 is 2132036.

It is an interprime number because it is at equal distance from previous prime (63023117) and next prime (63023123).

It can be written as a sum of positive squares in 4 ways, for example, as 38142976 + 24880144 = 6176^2 + 4988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (63023123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50666 + ... + 51894.

It is an arithmetic number, because the mean of its divisors is an integer number (3671919).

Almost surely, 263023120 is an apocalyptic number.

It is an amenable number.

63023120 is an abundant number, since it is smaller than the sum of its proper divisors (83853640).

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

63023120 is a wasteful number, since it uses less digits than its factorization.

63023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 63023120 is about 7938.7102226999. The cubic root of 63023120 is about 397.9543898644.

Adding to 63023120 its reverse (2132036), we get a palindrome (65155156).

The spelling of 63023120 in words is "sixty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 641 1229 1282 2458 2564 3205 4916 5128 6145 6410 9832 10256 12290 12820 19664 24580 25640 49160 51280 98320 787789 1575578 3151156 3938945 6302312 7877890 12604624 15755780 31511560 63023120