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64957340 = 2257317557
BaseRepresentation
bin1111011111001…
…0101110011100
311112020011201102
43313302232130
5113112113330
610240132232
71416062000
oct367625634
9145204642
1064957340
1133737458
1219907078
13105c44c6
1488ac700
155a81945
hex3df2b9c

64957340 has 96 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 20923392.

The previous prime is 64957327. The next prime is 64957349. The reversal of 64957340 is 4375946.

It is a junction number, because it is equal to n+sod(n) for n = 64957294 and 64957303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64957349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116342 + ... + 116898.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 264957340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64957340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

64957340 is an abundant number, since it is smaller than the sum of its proper divisors (103781860).

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

64957340 is a wasteful number, since it uses less digits than its factorization.

64957340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 64957340 is about 8059.6116531754. The cubic root of 64957340 is about 401.9845955006.

The spelling of 64957340 in words is "sixty-four million, nine hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 343 476 490 557 595 686 833 980 1114 1190 1372 1666 1715 2228 2380 2785 3332 3430 3899 4165 5570 5831 6860 7798 8330 9469 11140 11662 15596 16660 18938 19495 23324 27293 29155 37876 38990 47345 54586 58310 66283 77980 94690 109172 116620 132566 136465 189380 191051 265132 272930 331415 382102 463981 545860 662830 764204 927962 955255 1325660 1855924 1910510 2319905 3247867 3821020 4639810 6495734 9279620 12991468 16239335 32478670 64957340