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64130430 = 2357133139
BaseRepresentation
bin1111010010100…
…0110101111110
311110200011102010
43310220311332
5112404133210
610210312050
71406046120
oct364506576
9143604363
1064130430
1133222161
1219588626
1310395000
148735210
15596b920
hex3d28d7e

64130430 has 128 divisors (see below), whose sum is σ = 191923200. Its totient is φ = 13433472.

The previous prime is 64130401. The next prime is 64130431. The reversal of 64130430 is 3403146.

It is a super-2 number, since 2×641304302 = 8225424103969800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64130397 and 64130406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64130431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461301 + ... + 461439.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 264130430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64130430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961600).

64130430 is an abundant number, since it is smaller than the sum of its proper divisors (127792770).

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

64130430 is a wasteful number, since it uses less digits than its factorization.

64130430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 64130430 is about 8008.1477259102. The cubic root of 64130430 is about 400.2715447835.

Adding to 64130430 its reverse (3403146), we get a palindrome (67533576).

The spelling of 64130430 in words is "sixty-four million, one hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 139 169 182 195 210 273 278 338 390 417 455 507 546 695 834 845 910 973 1014 1183 1365 1390 1690 1807 1946 2085 2197 2366 2535 2730 2919 3549 3614 4170 4394 4865 5070 5421 5838 5915 6591 7098 9035 9730 10842 10985 11830 12649 13182 14595 15379 17745 18070 21970 23491 25298 27105 29190 30758 32955 35490 37947 46137 46982 54210 63245 65910 70473 75894 76895 92274 117455 126490 140946 153790 164437 189735 230685 234910 305383 328874 352365 379470 461370 493311 610766 704730 822185 916149 986622 1526915 1644370 1832298 2137681 2466555 3053830 4275362 4580745 4933110 6413043 9161490 10688405 12826086 21376810 32065215 64130430