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80120016 = 24366869
BaseRepresentation
bin1001100011010…
…00100011010000
312120202112000000
410301220203100
5131002320031
611541130000
71662003024
oct461504320
9176675000
1080120016
1141253399
12229b9900
13137a2bc2
14a8d8384
1570793e6
hex4c688d0

80120016 has 70 divisors (see below), whose sum is σ = 232776210. Its totient is φ = 26702784.

The previous prime is 80119999. The next prime is 80120071. The reversal of 80120016 is 61002108.

It can be written as a sum of positive squares in only one way, i.e., 44836416 + 35283600 = 6696^2 + 5940^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8230 + ... + 15098.

Almost surely, 280120016 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 80120016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116388105).

80120016 is an abundant number, since it is smaller than the sum of its proper divisors (152656194).

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

80120016 is an equidigital number, since it uses as much as digits as its factorization.

80120016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6895 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 80120016 is about 8950.9784939972. The cubic root of 80120016 is about 431.1023025404.

The spelling of 80120016 in words is "eighty million, one hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 6869 11664 13738 20607 27476 41214 54952 61821 82428 109904 123642 164856 185463 247284 329712 370926 494568 556389 741852 989136 1112778 1483704 1669167 2225556 2967408 3338334 4451112 5007501 6676668 8902224 10015002 13353336 20030004 26706672 40060008 80120016