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65040384 = 21236779
BaseRepresentation
bin1111100000011…
…1000000000000
311112101101122010
43320013000000
5113122243014
610242012520
71416556053
oct370070000
9145341563
1065040384
1133793892
1219947140
1310623246
1488d0a9a
155a9b359
hex3e07000

65040384 has 104 divisors (see below), whose sum is σ = 178236160. Its totient is φ = 21086208.

The previous prime is 65040379. The next prime is 65040499. The reversal of 65040384 is 48304056.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 823257 + ... + 823335.

Almost surely, 265040384 is an apocalyptic number.

65040384 is a gapful number since it is divisible by the number (64) 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 65040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89118080).

65040384 is an abundant number, since it is smaller than the sum of its proper divisors (113195776).

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

65040384 is an equidigital number, since it uses as much as digits as its factorization.

65040384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 65040384 is about 8064.7618687721. The cubic root of 65040384 is about 402.1558268197.

The spelling of 65040384 in words is "sixty-five million, forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 79 96 128 134 158 192 201 237 256 268 316 384 402 474 512 536 632 768 804 948 1024 1072 1264 1536 1608 1896 2048 2144 2528 3072 3216 3792 4096 4288 5056 5293 6144 6432 7584 8576 10112 10586 12288 12864 15168 15879 17152 20224 21172 25728 30336 31758 34304 40448 42344 51456 60672 63516 68608 80896 84688 102912 121344 127032 137216 161792 169376 205824 242688 254064 274432 323584 338752 411648 485376 508128 677504 823296 970752 1016256 1355008 2032512 2710016 4065024 5420032 8130048 10840064 16260096 21680128 32520192 65040384