Search a number
-
+
80402112 = 2633717223
BaseRepresentation
bin1001100101011…
…01011011000000
312121021211222000
410302231123000
5131040331422
611551144000
71664256330
oct462553300
9177254860
1080402112
114142632a
1222b15000
131387141b
14a96d0c0
1570d2cac
hex4cad6c0

80402112 has 336 divisors, whose sum is σ = 299435520. Its totient is φ = 20680704.

The previous prime is 80402111. The next prime is 80402117. The reversal of 80402112 is 21120408.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×804021122 = 12928999228121088, which contains 22 as substring.

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (80402111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3495733 + ... + 3495755.

Almost surely, 280402112 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 80402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149717760).

80402112 is an abundant number, since it is smaller than the sum of its proper divisors (219033408).

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

80402112 is a wasteful number, since it uses less digits than its factorization.

80402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80402112 is about 8966.7224781411. The cubic root of 80402112 is about 431.6076684936.

The spelling of 80402112 in words is "eighty million, four hundred two thousand, one hundred twelve".