Search a number
-
+
190019880 = 233251761509
BaseRepresentation
bin10110101001101…
…11100100101000
3111020120000021100
423110313210220
5342121114010
630504441400
74465066551
oct1324674450
9436500240
10190019880
1198296826
1253779260
13304a17cb
141b345328
1511a372c0
hexb537928

190019880 has 192 divisors, whose sum is σ = 665917200. Its totient is φ = 46817280.

The previous prime is 190019873. The next prime is 190019891. The reversal of 190019880 is 88910091.

190019880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 84382596 + 105637284 = 9186^2 + 10278^2 .

It is a super-2 number, since 2×1900198802 = 72215109590428800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373066 + ... + 373574.

Almost surely, 2190019880 is an apocalyptic number.

190019880 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 190019880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332958600).

190019880 is an abundant number, since it is smaller than the sum of its proper divisors (475897320).

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

190019880 is a wasteful number, since it uses less digits than its factorization.

190019880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 190019880 is about 13784.7698566207. The cubic root of 190019880 is about 574.9097577345.

The spelling of 190019880 in words is "one hundred ninety million, nineteen thousand, eight hundred eighty".