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64113420 = 22357236637
BaseRepresentation
bin1111010010010…
…0101100001100
311110122022002010
43310210230030
5112403112140
610210101220
71405645410
oct364445414
9143568063
1064113420
11332103a8
121957a810
131038a347
14872cd40
155966880
hex3d24b0c

64113420 has 96 divisors (see below), whose sum is σ = 214115328. Its totient is φ = 14015232.

The previous prime is 64113419. The next prime is 64113457. The reversal of 64113420 is 2431146.

64113420 = T281 + T282 + ... + T740.

It is a super-2 number, since 2×641134202 = 8221061248192800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 6342 + ... + 12978.

It is an arithmetic number, because the mean of its divisors is an integer number (2230368).

Almost surely, 264113420 is an apocalyptic number.

64113420 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 64113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107057664).

64113420 is an abundant number, since it is smaller than the sum of its proper divisors (150001908).

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

64113420 is a wasteful number, since it uses less digits than its factorization.

64113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679 (or 6677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 64113420 is about 8007.0856121313. The cubic root of 64113420 is about 400.2361522196.

Adding to 64113420 its reverse (2431146), we get a palindrome (66544566).

The spelling of 64113420 in words is "sixty-four million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 6637 9660 13274 19911 26548 33185 39822 46459 66370 79644 92918 99555 132740 139377 152651 185836 199110 232295 278754 305302 398220 457953 464590 557508 610604 696885 763255 915906 929180 1068557 1393770 1526510 1831812 2137114 2289765 2787540 3053020 3205671 4274228 4579530 5342785 6411342 9159060 10685570 12822684 16028355 21371140 32056710 64113420