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63146132 = 22723313163
BaseRepresentation
bin1111000011100…
…0100010010100
311101211011012122
43300320202110
5112131134012
610133235112
71364506340
oct360704224
9141734178
1063146132
113270a695
1219192a98
131010bc9a
14855a620
155824e72
hex3c38894

63146132 has 48 divisors (see below), whose sum is σ = 136077312. Its totient is φ = 25043040.

The previous prime is 63146129. The next prime is 63146141. The reversal of 63146132 is 23164136.

It is a super-2 number, since 2×631461322 = 7974867973122848, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18383 + ... + 21545.

It is an arithmetic number, because the mean of its divisors is an integer number (2834944).

Almost surely, 263146132 is an apocalyptic number.

63146132 is a gapful number since it is divisible by the number (62) 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 63146132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68038656).

63146132 is an abundant number, since it is smaller than the sum of its proper divisors (72931180).

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

63146132 is a wasteful number, since it uses less digits than its factorization.

63146132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3226 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 63146132 is about 7946.4540519656. The cubic root of 63146132 is about 398.2131380300.

The spelling of 63146132 in words is "sixty-three million, one hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 161 217 322 434 644 713 868 1426 2852 3163 4991 6326 9982 12652 19964 22141 44282 72749 88564 98053 145498 196106 290996 392212 509243 686371 1018486 1372742 2036972 2255219 2745484 4510438 9020876 15786533 31573066 63146132