Search a number
-
+
65681364 = 22372373019
BaseRepresentation
bin1111101010001…
…1011111010100
311120120221220010
43322203133110
5113303300424
610303440220
71425165600
oct372433724
9146527803
1065681364
1134091421
1219bb6070
13107b8c18
148a1a500
155b76229
hex3ea37d4

65681364 has 72 divisors (see below), whose sum is σ = 183156960. Its totient is φ = 18252864.

The previous prime is 65681359. The next prime is 65681381. The reversal of 65681364 is 46318656.

65681364 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

65681364 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20247 + ... + 23265.

Almost surely, 265681364 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 65681364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91578480).

65681364 is an abundant number, since it is smaller than the sum of its proper divisors (117475596).

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

65681364 is a wasteful number, since it uses less digits than its factorization.

65681364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3068 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 65681364 is about 8104.4039879562. The cubic root of 65681364 is about 403.4726069275.

The spelling of 65681364 in words is "sixty-five million, six hundred eighty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 3019 3108 3626 5439 6038 7252 9057 10878 12076 18114 21133 21756 36228 42266 63399 84532 111703 126798 147931 223406 253596 295862 335109 443793 446812 591724 670218 781921 887586 1340436 1563842 1775172 2345763 3127684 4691526 5473447 9383052 10946894 16420341 21893788 32840682 65681364