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64056420 = 2234539541
BaseRepresentation
bin1111010001011…
…0110001100100
311110112101220000
43310112301210
5112344301140
610204541300
71405320261
oct364266144
9143471800
1064056420
113318159a
1219551830
131036a40c
148716268
155954a30
hex3d16c64

64056420 has 60 divisors (see below), whose sum is σ = 200952444. Its totient is φ = 17081280.

The previous prime is 64056407. The next prime is 64056427. The reversal of 64056420 is 2465046.

It is a happy number.

64056420 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 2 ways, for example, as 7986276 + 56070144 = 2826^2 + 7488^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (64056427) 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 19 ways as a sum of consecutive naturals, for example, 18151 + ... + 21390.

Almost surely, 264056420 is an apocalyptic number.

64056420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64056420 is an abundant number, since it is smaller than the sum of its proper divisors (136896024).

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

64056420 is a wasteful number, since it uses less digits than its factorization.

64056420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39562 (or 39551 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64056420 is about 8003.5254731899. The cubic root of 64056420 is about 400.1175071435.

The spelling of 64056420 in words is "sixty-four million, fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 39541 79082 118623 158164 197705 237246 355869 395410 474492 593115 711738 790820 1067607 1186230 1423476 1779345 2135214 2372460 3202821 3558690 4270428 5338035 6405642 7117380 10676070 12811284 16014105 21352140 32028210 64056420