Search a number
-
+
192430080 = 21434529
BaseRepresentation
bin10110111100001…
…00000000000000
3111102002110110000
423132010000000
5343230230310
631032240000
74524425433
oct1336040000
9442073400
10192430080
1199692627
1254540000
1330b3686b
141b7b181a
1511d614c0
hexb784000

192430080 has 300 divisors, whose sum is σ = 713665260. Its totient is φ = 49545216.

The previous prime is 192430061. The next prime is 192430127. The reversal of 192430080 is 80034291.

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 107495424 = 9216^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635506 + ... + 6635534.

Almost surely, 2192430080 is an apocalyptic number.

192430080 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 192430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356832630).

192430080 is an abundant number, since it is smaller than the sum of its proper divisors (521235180).

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

192430080 is an frugal number, since it uses more digits than its factorization.

192430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 192430080 is about 13871.9169547687. The cubic root of 192430080 is about 577.3302587662.

The spelling of 192430080 in words is "one hundred ninety-two million, four hundred thirty thousand, eighty".