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191007216 = 24322694931
BaseRepresentation
bin10110110001010…
…00100111110000
3111022102011122100
423120220213300
5342344212331
630541540400
74506351231
oct1330504760
9438364570
10191007216
1198900604
1253b74700
133075902a
141b521088
1511b7eae6
hexb6289f0

191007216 has 60 divisors (see below), whose sum is σ = 536650920. Its totient is φ = 63419520.

The previous prime is 191007211. The next prime is 191007251. The reversal of 191007216 is 612700191.

It is a self number, because there is not a number n which added to its sum of digits gives 191007216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191007211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36271 + ... + 41201.

It is an arithmetic number, because the mean of its divisors is an integer number (8944182).

Almost surely, 2191007216 is an apocalyptic number.

191007216 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 191007216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268325460).

191007216 is an abundant number, since it is smaller than the sum of its proper divisors (345643704).

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

191007216 is a wasteful number, since it uses less digits than its factorization.

191007216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 191007216 is about 13820.5360243371. The cubic root of 191007216 is about 575.9037744349.

The spelling of 191007216 in words is "one hundred ninety-one million, seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 538 807 1076 1614 2152 2421 3228 4304 4842 4931 6456 9684 9862 12912 14793 19368 19724 29586 38736 39448 44379 59172 78896 88758 118344 177516 236688 355032 710064 1326439 2652878 3979317 5305756 7958634 10611512 11937951 15917268 21223024 23875902 31834536 47751804 63669072 95503608 191007216