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64114740 = 22345192083
BaseRepresentation
bin1111010010010…
…1000000110100
311110122100220000
43310211000310
5112403132430
610210111300
71405652304
oct364450064
9143570800
1064114740
1133211398
121957b530
131038ab21
14872d604
155966e60
hex3d25034

64114740 has 120 divisors (see below), whose sum is σ = 211817760. Its totient is φ = 16189632.

The previous prime is 64114711. The next prime is 64114753. The reversal of 64114740 is 4741146.

64114740 is a `hidden beast` number, since 641 + 14 + 7 + 4 + 0 = 666.

It is a super-2 number, since 2×641147402 = 8221399770535200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 29739 + ... + 31821.

It is an arithmetic number, because the mean of its divisors is an integer number (1765148).

Almost surely, 264114740 is an apocalyptic number.

64114740 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 64114740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105908880).

64114740 is an abundant number, since it is smaller than the sum of its proper divisors (147703020).

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

64114740 is a wasteful number, since it uses less digits than its factorization.

64114740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 64114740 is about 8007.1680387013. The cubic root of 64114740 is about 400.2388989565.

Adding to 64114740 its reverse (4741146), we get a palindrome (68855886).

The spelling of 64114740 in words is "sixty-four million, one hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2083 2565 3078 3420 4166 5130 6156 6249 7695 8332 10260 10415 12498 15390 18747 20830 24996 30780 31245 37494 39577 41660 56241 62490 74988 79154 93735 112482 118731 124980 158308 168723 187470 197885 224964 237462 281205 337446 356193 374940 395770 474924 562410 593655 674892 712386 791540 843615 1068579 1124820 1187310 1424772 1687230 1780965 2137158 2374620 3205737 3374460 3561930 4274316 5342895 6411474 7123860 10685790 12822948 16028685 21371580 32057370 64114740