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63880040 = 2357297867
BaseRepresentation
bin1111001110101…
…1101101101000
311110012102221102
43303223231220
5112323130130
610201100532
71403654120
oct363535550
9143172842
1063880040
1133071024
1219487748
1310308053
1486abc80
15591c645
hex3cebb68

63880040 has 64 divisors (see below), whose sum is σ = 169948800. Its totient is φ = 21143808.

The previous prime is 63880031. The next prime is 63880043. The reversal of 63880040 is 4008836.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 63879985 and 63880012.

It is not an unprimeable number, because it can be changed into a prime (63880043) 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, 4187 + ... + 12053.

It is an arithmetic number, because the mean of its divisors is an integer number (2655450).

Almost surely, 263880040 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 63880040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84974400).

63880040 is an abundant number, since it is smaller than the sum of its proper divisors (106068760).

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

63880040 is a wasteful number, since it uses less digits than its factorization.

63880040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 63880040 is about 7992.4989834219. The cubic root of 63880040 is about 399.7499270247.

Adding to 63880040 its reverse (4008836), we get a palindrome (67888876).

The spelling of 63880040 in words is "sixty-three million, eight hundred eighty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 7867 8120 15734 31468 39335 55069 62936 78670 110138 157340 220276 228143 275345 314680 440552 456286 550690 912572 1101380 1140715 1597001 1825144 2202760 2281430 3194002 4562860 6388004 7985005 9125720 12776008 15970010 31940020 63880040