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64313520 = 24352361191
BaseRepresentation
bin1111010101010…
…1100010110000
311111000110120020
43311111202300
5112431013040
610214243440
71410440655
oct365254260
9144013506
1064313520
1133337777
1219656580
131042a44b
148781c2c
1559a5cd0
hex3d558b0

64313520 has 160 divisors (see below), whose sum is σ = 212557824. Its totient is φ = 16051200.

The previous prime is 64313519. The next prime is 64313563. The reversal of 64313520 is 2531346.

It is a happy number.

64313520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336625 + ... + 336815.

Almost surely, 264313520 is an apocalyptic number.

64313520 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 64313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106278912).

64313520 is an abundant number, since it is smaller than the sum of its proper divisors (148244304).

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

64313520 is a wasteful number, since it uses less digits than its factorization.

64313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 64313520 is about 8019.5710608486. The cubic root of 64313520 is about 400.6521029932.

Adding to 64313520 its reverse (2531346), we get a palindrome (66844866).

The spelling of 64313520 in words is "sixty-four million, three hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 61 69 80 92 115 120 122 138 183 184 191 230 240 244 276 305 345 366 368 382 460 488 552 573 610 690 732 764 915 920 955 976 1104 1146 1220 1380 1403 1464 1528 1830 1840 1910 2292 2440 2760 2806 2865 2928 3056 3660 3820 4209 4393 4584 4880 5520 5612 5730 7015 7320 7640 8418 8786 9168 11224 11460 11651 13179 14030 14640 15280 16836 17572 21045 21965 22448 22920 23302 26358 28060 33672 34953 35144 42090 43930 45840 46604 52716 56120 58255 65895 67344 69906 70288 84180 87860 93208 105432 112240 116510 131790 139812 168360 174765 175720 186416 210864 233020 263580 267973 279624 336720 349530 351440 466040 527160 535946 559248 699060 803919 932080 1054320 1071892 1339865 1398120 1607838 2143784 2679730 2796240 3215676 4019595 4287568 5359460 6431352 8039190 10718920 12862704 16078380 21437840 32156760 64313520