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65097216 = 293317277
BaseRepresentation
bin1111100001010…
…0111000000000
311112111021121000
43320110320000
5113131102331
610243132000
71420213542
oct370247000
9145437530
1065097216
1133822558
1219974000
1310643082
148907692
155aad0e6
hex3e14e00

65097216 has 160 divisors (see below), whose sum is σ = 204763680. Its totient is φ = 20348928.

The previous prime is 65097203. The next prime is 65097223. The reversal of 65097216 is 61279056.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234870 + ... + 235146.

It is an arithmetic number, because the mean of its divisors is an integer number (1279773).

Almost surely, 265097216 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 65097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102381840).

65097216 is an abundant number, since it is smaller than the sum of its proper divisors (139666464).

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

65097216 is a wasteful number, since it uses less digits than its factorization.

65097216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 65097216 is about 8068.2845760422. The cubic root of 65097216 is about 402.2729267138.

The spelling of 65097216 in words is "sixty-five million, ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 277 288 306 384 408 432 459 512 544 554 576 612 768 816 831 864 918 1088 1108 1152 1224 1536 1632 1662 1728 1836 2176 2216 2304 2448 2493 3264 3324 3456 3672 4352 4432 4608 4709 4896 4986 6528 6648 6912 7344 7479 8704 8864 9418 9792 9972 13056 13296 13824 14127 14688 14958 17728 18836 19584 19944 26112 26592 28254 29376 29916 35456 37672 39168 39888 42381 53184 56508 58752 59832 70912 75344 78336 79776 84762 106368 113016 117504 119664 127143 141824 150688 159552 169524 212736 226032 235008 239328 254286 301376 319104 339048 425472 452064 478656 508572 602752 638208 678096 904128 957312 1017144 1205504 1276416 1356192 1808256 1914624 2034288 2411008 2712384 3616512 3829248 4068576 5424768 7233024 8137152 10849536 16274304 21699072 32548608 65097216