Search a number
-
+
191068416 = 2833711359
BaseRepresentation
bin10110110001101…
…11100100000000
3111022112021121000
423120313210000
5342403142131
630543132000
74510024530
oct1330674400
9438467530
10191068416
1198942590
1253ba4000
133077ab46
141b5394c0
1511b92ce6
hexb637900

191068416 has 288 divisors, whose sum is σ = 706406400. Its totient is φ = 49489920.

The previous prime is 191068411. The next prime is 191068433. The reversal of 191068416 is 614860191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (191068411) 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, 532045 + ... + 532403.

It is an arithmetic number, because the mean of its divisors is an integer number (2452800).

Almost surely, 2191068416 is an apocalyptic number.

191068416 is a gapful number since it is divisible by the number (16) 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 191068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353203200).

191068416 is an abundant number, since it is smaller than the sum of its proper divisors (515337984).

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

191068416 is a wasteful number, since it uses less digits than its factorization.

191068416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 191068416 is about 13822.7499434809. The cubic root of 191068416 is about 575.9652756845.

The spelling of 191068416 in words is "one hundred ninety-one million, sixty-eight thousand, four hundred sixteen".