Search a number
-
+
192991680 = 2633573191
BaseRepresentation
bin10111000000011…
…01000111000000
3111110010222211000
423200031013000
5343401213210
631052252000
74532254650
oct1340150700
9443128730
10192991680
1199a36562
1254771000
1330ca237b
141b8ba360
1511e22ac0
hexb80d1c0

192991680 has 224 divisors, whose sum is σ = 778337280. Its totient is φ = 44098560.

The previous prime is 192991679. The next prime is 192991681. The reversal of 192991680 is 86199291.

It is an interprime number because it is at equal distance from previous prime (192991679) and next prime (192991681).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192991681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58885 + ... + 62075.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2192991680 is an apocalyptic number.

192991680 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 192991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389168640).

192991680 is an abundant number, since it is smaller than the sum of its proper divisors (585345600).

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

192991680 is a wasteful number, since it uses less digits than its factorization.

192991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 192991680 is about 13892.1445428703. The cubic root of 192991680 is about 577.8913522074.

The spelling of 192991680 in words is "one hundred ninety-two million, nine hundred ninety-one thousand, six hundred eighty".