Search a number
-
+
79400080 = 2451735737
BaseRepresentation
bin1001011101110…
…00110010010000
312112101221102201
410232320302100
5130311300310
611513452544
71652614054
oct456706220
9175357381
1079400080
1140901501
1222711154
13135b02c6
14a78bc64
156e85e3a
hex4bb8c90

79400080 has 40 divisors (see below), whose sum is σ = 185704632. Its totient is φ = 31570944.

The previous prime is 79400077. The next prime is 79400093. The reversal of 79400080 is 8000497.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 75759616 = 1908^2 + 8704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 10972 + ... + 16708.

Almost surely, 279400080 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 79400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92852316).

79400080 is an abundant number, since it is smaller than the sum of its proper divisors (106304552).

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

79400080 is a wasteful number, since it uses less digits than its factorization.

79400080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 79400080 is about 8910.6722529784. The cubic root of 79400080 is about 429.8071606922.

The spelling of 79400080 in words is "seventy-nine million, four hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 5737 6920 11474 13840 22948 28685 45896 57370 91792 114740 229480 458960 992501 1985002 3970004 4962505 7940008 9925010 15880016 19850020 39700040 79400080