Search a number
-
+
190944864 = 25341137181
BaseRepresentation
bin10110110000110…
…01011001100000
3111022022000010000
423120121121200
5342340213424
630540340000
74506001365
oct1330313140
9438260100
10190944864
1198868780
1253b44600
1330736836
141b50646c
1511b6b3c9
hexb619660

190944864 has 240 divisors, whose sum is σ = 632648016. Its totient is φ = 55987200.

The previous prime is 190944863. The next prime is 190944899. The reversal of 190944864 is 468449091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190944863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1054854 + ... + 1055034.

Almost surely, 2190944864 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 190944864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316324008).

190944864 is an abundant number, since it is smaller than the sum of its proper divisors (441703152).

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

190944864 is a wasteful number, since it uses less digits than its factorization.

190944864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 190944864 is about 13818.2800666364. The cubic root of 190944864 is about 575.8411020030.

The spelling of 190944864 in words is "one hundred ninety million, nine hundred forty-four thousand, eight hundred sixty-four".