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64386420 = 22357831847
BaseRepresentation
bin1111010110011…
…1010101110100
311111011011120020
43311213111310
5112440331140
610220005140
71411163340
oct365472564
9144134506
1064386420
113338751a
12196907b0
1310454697
1487a0620
1559bc6d0
hex3d67574

64386420 has 96 divisors (see below), whose sum is σ = 208631808. Its totient is φ = 14531712.

The previous prime is 64386403. The next prime is 64386431. The reversal of 64386420 is 2468346.

It is a super-2 number, since 2×643864202 = 8291222160832800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33937 + ... + 35783.

It is an arithmetic number, because the mean of its divisors is an integer number (2173248).

Almost surely, 264386420 is an apocalyptic number.

64386420 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 64386420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104315904).

64386420 is an abundant number, since it is smaller than the sum of its proper divisors (144245388).

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

64386420 is a wasteful number, since it uses less digits than its factorization.

64386420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 64386420 is about 8024.1149044614. The cubic root of 64386420 is about 400.8034268495.

The spelling of 64386420 in words is "sixty-four million, three hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 1847 2324 2490 2905 3486 3694 4980 5541 5810 6972 7388 8715 9235 11082 11620 12929 17430 18470 22164 25858 27705 34860 36940 38787 51716 55410 64645 77574 110820 129290 153301 155148 193935 258580 306602 387870 459903 613204 766505 775740 919806 1073107 1533010 1839612 2146214 2299515 3066020 3219321 4292428 4599030 5365535 6438642 9198060 10731070 12877284 16096605 21462140 32193210 64386420