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63990640 = 2457114269
BaseRepresentation
bin1111010000011…
…0101101110000
311110102001122201
43310012231300
5112340200030
610203312544
71404624430
oct364065560
9143361581
1063990640
113313712a
121951b754
13103464ac
1486da2c0
1559402ca
hex3d06b70

63990640 has 40 divisors (see below), whose sum is σ = 170033760. Its totient is φ = 21939456.

The previous prime is 63990611. The next prime is 63990643. The reversal of 63990640 is 4609936.

63990640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 63990640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63990643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56575 + ... + 57694.

It is an arithmetic number, because the mean of its divisors is an integer number (4250844).

Almost surely, 263990640 is an apocalyptic number.

It is an amenable number.

63990640 is an abundant number, since it is smaller than the sum of its proper divisors (106043120).

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

63990640 is a wasteful number, since it uses less digits than its factorization.

63990640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114289 (or 114283 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 63990640 is about 7999.4149786094. The cubic root of 63990640 is about 399.9804990493.

The spelling of 63990640 in words is "sixty-three million, nine hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 114269 228538 457076 571345 799883 914152 1142690 1599766 1828304 2285380 3199532 3999415 4570760 6399064 7998830 9141520 12798128 15997660 31995320 63990640