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64890560 = 265759491
BaseRepresentation
bin1111011110001…
…0011011000000
311112002210010002
43313202123000
5113102444220
610234455132
71415363210
oct367423300
9145083102
1064890560
11336a1269
12198944a8
131059cca7
148892240
155a6bc75
hex3de26c0

64890560 has 112 divisors (see below), whose sum is σ = 179953920. Its totient is φ = 21826560.

The previous prime is 64890559. The next prime is 64890583. The reversal of 64890560 is 6509846.

64890560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×648905602 = 8421569554227200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 131915 + ... + 132405.

Almost surely, 264890560 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 64890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89976960).

64890560 is an abundant number, since it is smaller than the sum of its proper divisors (115063360).

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

64890560 is a wasteful number, since it uses less digits than its factorization.

64890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 64890560 is about 8055.4677083333. The cubic root of 64890560 is about 401.8467935945.

The spelling of 64890560 in words is "sixty-four million, eight hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 140 160 224 236 280 295 320 413 448 472 491 560 590 826 944 982 1120 1180 1652 1888 1964 2065 2240 2360 2455 3304 3437 3776 3928 4130 4720 4910 6608 6874 7856 8260 9440 9820 13216 13748 15712 16520 17185 18880 19640 26432 27496 28969 31424 33040 34370 39280 54992 57938 66080 68740 78560 109984 115876 132160 137480 144845 157120 202783 219968 231752 274960 289690 405566 463504 549920 579380 811132 927008 1013915 1099840 1158760 1622264 1854016 2027830 2317520 3244528 4055660 4635040 6489056 8111320 9270080 12978112 16222640 32445280 64890560