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80726016 = 211371877
BaseRepresentation
bin1001100111111…
…00100000000000
312121220022021110
410303330200000
5131131213031
612002123320
72000105550
oct463744000
9177808243
1080726016
1141627718
1223050540
1313955997
14aa15160
157148c46
hex4cfc800

80726016 has 96 divisors (see below), whose sum is σ = 246093120. Its totient is φ = 23052288.

The previous prime is 80726011. The next prime is 80726029. The reversal of 80726016 is 61062708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (80726011) 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, 42070 + ... + 43946.

It is an arithmetic number, because the mean of its divisors is an integer number (2563470).

Almost surely, 280726016 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 80726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123046560).

80726016 is an abundant number, since it is smaller than the sum of its proper divisors (165367104).

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

80726016 is a wasteful number, since it uses less digits than its factorization.

80726016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 80726016 is about 8984.7657732408. The cubic root of 80726016 is about 432.1864764216.

The spelling of 80726016 in words is "eighty million, seven hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 1877 2048 2688 3072 3584 3754 5376 5631 6144 7168 7508 10752 11262 13139 14336 15016 21504 22524 26278 30032 39417 43008 45048 52556 60064 78834 90096 105112 120128 157668 180192 210224 240256 315336 360384 420448 480512 630672 720768 840896 961024 1261344 1441536 1681792 1922048 2522688 2883072 3363584 3844096 5045376 5766144 6727168 10090752 11532288 13454336 20181504 26908672 40363008 80726016