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16080640 = 28517739
BaseRepresentation
bin111101010101…
…111100000000
31010020222111021
4331111330000
513104040030
61332355224
7253453222
oct75257400
933228437
1016080640
119093694
125475b14
133440494
1421c8412
15162997a
hexf55f00

16080640 has 72 divisors (see below), whose sum is σ = 40839120. Its totient is φ = 6045696.

The previous prime is 16080619. The next prime is 16080641. The reversal of 16080640 is 4608061.

16080640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16080641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21391 + ... + 22129.

It is an arithmetic number, because the mean of its divisors is an integer number (567210).

Almost surely, 216080640 is an apocalyptic number.

16080640 is a gapful number since it is divisible by the number (10) 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 16080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20419560).

16080640 is an abundant number, since it is smaller than the sum of its proper divisors (24758480).

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

16080640 is an equidigital number, since it uses as much as digits as its factorization.

16080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 16080640 is about 4010.0673311056. The cubic root of 16080640 is about 252.4068342362.

The spelling of 16080640 in words is "sixteen million, eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 739 1088 1280 1360 1478 2176 2720 2956 3695 4352 5440 5912 7390 10880 11824 12563 14780 21760 23648 25126 29560 47296 50252 59120 62815 94592 100504 118240 125630 189184 201008 236480 251260 402016 472960 502520 804032 945920 1005040 1608064 2010080 3216128 4020160 8040320 16080640