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64380420 = 22355131019
BaseRepresentation
bin1111010110010…
…1111000000100
311111010212100000
43311211320010
5112440133140
610215521300
71411140006
oct365457004
9144125300
1064380420
1133382a65
1219689230
1310451a30
14879c376
1559baa30
hex3d65e04

64380420 has 144 divisors (see below), whose sum is σ = 218312640. Its totient is φ = 15831936.

The previous prime is 64380403. The next prime is 64380431. The reversal of 64380420 is 2408346.

64380420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 62671 + ... + 63689.

It is an arithmetic number, because the mean of its divisors is an integer number (1516060).

Almost surely, 264380420 is an apocalyptic number.

64380420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64380420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109156320).

64380420 is an abundant number, since it is smaller than the sum of its proper divisors (153932220).

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

64380420 is a wasteful number, since it uses less digits than its factorization.

64380420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64380420 is about 8023.7410227400. The cubic root of 64380420 is about 400.7909765260.

Adding to 64380420 its reverse (2408346), we get a palindrome (66788766).

The spelling of 64380420 in words is "sixty-four million, three hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1019 1053 1170 1215 1404 1620 1755 2038 2106 2340 2430 3057 3159 3510 4076 4212 4860 5095 5265 6114 6318 7020 9171 10190 10530 12228 12636 13247 15285 15795 18342 20380 21060 26494 27513 30570 31590 36684 39741 45855 52988 55026 61140 63180 66235 79482 82539 91710 110052 119223 132470 137565 158964 165078 183420 198705 238446 247617 264940 275130 330156 357669 397410 412695 476892 495234 550260 596115 715338 794820 825390 990468 1073007 1192230 1238085 1430676 1650780 1788345 2146014 2384460 2476170 3219021 3576690 4292028 4952340 5365035 6438042 7153380 10730070 12876084 16095105 21460140 32190210 64380420