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64014420 = 223519233241
BaseRepresentation
bin1111010000110…
…0100001010100
311110110021021110
43310030201110
5112341430140
610204015020
71405053651
oct364144124
9143407243
1064014420
1133152a88
1219531470
1310354272
148704c28
155947380
hex3d0c854

64014420 has 96 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 16035840.

The previous prime is 64014409. The next prime is 64014421. The reversal of 64014420 is 2441046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64014421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265500 + ... + 265740.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 264014420 is an apocalyptic number.

64014420 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 64014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

64014420 is an abundant number, since it is smaller than the sum of its proper divisors (126255660).

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

64014420 is a wasteful number, since it uses less digits than its factorization.

64014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

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

The square root of 64014420 is about 8000.9011992400. The cubic root of 64014420 is about 400.0300394107.

Adding to 64014420 its reverse (2441046), we get a palindrome (66455466).

The spelling of 64014420 in words is "sixty-four million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 233 241 285 380 466 482 570 699 723 932 964 1140 1165 1205 1398 1446 2330 2410 2796 2892 3495 3615 4427 4579 4660 4820 6990 7230 8854 9158 13281 13737 13980 14460 17708 18316 22135 22895 26562 27474 44270 45790 53124 54948 56153 66405 68685 88540 91580 112306 132810 137370 168459 224612 265620 274740 280765 336918 561530 673836 842295 1066907 1123060 1684590 2133814 3200721 3369180 4267628 5334535 6401442 10669070 12802884 16003605 21338140 32007210 64014420