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64020420 = 22325355669
BaseRepresentation
bin1111010000110…
…1111111000100
311110110120111200
43310031333010
5112342123140
610204102500
71405110312
oct364157704
9143416450
1064020420
1133157542
1219534a30
1310356c09
1487070b2
155949030
hex3d0dfc4

64020420 has 36 divisors (see below), whose sum is σ = 194195820. Its totient is φ = 17072064.

The previous prime is 64020413. The next prime is 64020427. The reversal of 64020420 is 2402046.

64020420 is a `hidden beast` number, since 640 + 2 + 0 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (64020413) and next prime (64020427).

It can be written as a sum of positive squares in 2 ways, for example, as 43007364 + 21013056 = 6558^2 + 4584^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×640204202 = 8197228353952800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 64020393 and 64020402.

It is not an unprimeable number, because it can be changed into a prime (64020427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177655 + ... + 178014.

Almost surely, 264020420 is an apocalyptic number.

64020420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64020420 is an abundant number, since it is smaller than the sum of its proper divisors (130175400).

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

64020420 is a wasteful number, since it uses less digits than its factorization.

64020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355684 (or 355679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 64020420 is about 8001.2761482154. The cubic root of 64020420 is about 400.0425371430.

Adding to 64020420 its reverse (2402046), we get a palindrome (66422466).

The spelling of 64020420 in words is "sixty-four million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 355669 711338 1067007 1422676 1778345 2134014 3201021 3556690 4268028 5335035 6402042 7113380 10670070 12804084 16005105 21340140 32010210 64020420