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64421400 = 23352195651
BaseRepresentation
bin1111010110111…
…1111000011000
311111012221112210
43311233320120
5112442441100
610220435120
71411400331
oct365577030
9144187483
1064421400
113340082a
12196a8aa0
1310467594
1487ad288
1559c7c50
hex3d6fe18

64421400 has 96 divisors (see below), whose sum is σ = 210254400. Its totient is φ = 16272000.

The previous prime is 64421393. The next prime is 64421417. The reversal of 64421400 is 412446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8575 + ... + 14225.

It is an arithmetic number, because the mean of its divisors is an integer number (2190150).

Almost surely, 264421400 is an apocalyptic number.

64421400 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 64421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105127200).

64421400 is an abundant number, since it is smaller than the sum of its proper divisors (145833000).

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

64421400 is a wasteful number, since it uses less digits than its factorization.

64421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 64421400 is about 8026.2942881507. The cubic root of 64421400 is about 400.8759968401.

Adding to 64421400 its reverse (412446), we get a palindrome (64833846).

The spelling of 64421400 in words is "sixty-four million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5651 5700 11302 11400 16953 22604 28255 33906 45208 56510 67812 84765 107369 113020 135624 141275 169530 214738 226040 282550 322107 339060 423825 429476 536845 565100 644214 678120 847650 858952 1073690 1130200 1288428 1610535 1695300 2147380 2576856 2684225 3221070 3390600 4294760 5368450 6442140 8052675 10736900 12884280 16105350 21473800 32210700 64421400