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64114440 = 23351373563
BaseRepresentation
bin1111010010010…
…0111100001000
311110122100110220
43310210330020
5112403130230
610210110040
71405651365
oct364447410
9143570426
1064114440
1133211145
121957b320
131038a950
14872d46c
155966d10
hex3d24f08

64114440 has 128 divisors (see below), whose sum is σ = 210349440. Its totient is φ = 15538176.

The previous prime is 64114433. The next prime is 64114483. The reversal of 64114440 is 4441146.

It is a super-2 number, since 2×641144402 = 8221322833027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64114440.

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, 113599 + ... + 114161.

It is an arithmetic number, because the mean of its divisors is an integer number (1643355).

Almost surely, 264114440 is an apocalyptic number.

64114440 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 64114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105174720).

64114440 is an abundant number, since it is smaller than the sum of its proper divisors (146235000).

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

64114440 is a wasteful number, since it uses less digits than its factorization.

64114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 64114440 is about 8007.1493054645. The cubic root of 64114440 is about 400.2382747014.

Adding to 64114440 its reverse (4441146), we get a palindrome (68555586).

The spelling of 64114440 in words is "sixty-four million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 73 78 104 120 130 146 156 195 219 260 292 312 365 390 438 520 563 584 730 780 876 949 1095 1126 1460 1560 1689 1752 1898 2190 2252 2815 2847 2920 3378 3796 4380 4504 4745 5630 5694 6756 7319 7592 8445 8760 9490 11260 11388 13512 14235 14638 16890 18980 21957 22520 22776 28470 29276 33780 36595 37960 41099 43914 56940 58552 67560 73190 82198 87828 109785 113880 123297 146380 164396 175656 205495 219570 246594 292760 328792 410990 439140 493188 534287 616485 821980 878280 986376 1068574 1232970 1602861 1643960 2137148 2465940 2671435 3205722 4274296 4931880 5342870 6411444 8014305 10685740 12822888 16028610 21371480 32057220 64114440