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63156340 = 22513449541
BaseRepresentation
bin1111000011101…
…1000001110100
311101211200012201
43300323001310
5112132000330
610133354244
71364551162
oct360730164
9141750181
1063156340
1132717325
1219198984
1310113820
148560232
155827eca
hex3c3b074

63156340 has 48 divisors (see below), whose sum is σ = 143413200. Its totient is φ = 23224320.

The previous prime is 63156319. The next prime is 63156371. The reversal of 63156340 is 4365136.

63156340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4235364 + 58920976 = 2058^2 + 7676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63156299 and 63156308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116470 + ... + 117010.

It is an arithmetic number, because the mean of its divisors is an integer number (2987775).

Almost surely, 263156340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63156340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71706600).

63156340 is an abundant number, since it is smaller than the sum of its proper divisors (80256860).

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

63156340 is a wasteful number, since it uses less digits than its factorization.

63156340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 63156340 is about 7947.0963250737. The cubic root of 63156340 is about 398.2345948242.

The spelling of 63156340 in words is "sixty-three million, one hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 449 541 898 1082 1796 2164 2245 2705 4490 5410 5837 7033 8980 10820 11674 14066 23348 28132 29185 35165 58370 70330 116740 140660 242909 485818 971636 1214545 2429090 3157817 4858180 6315634 12631268 15789085 31578170 63156340