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190938000 = 24353112263
BaseRepresentation
bin10110110000101…
…11101110010000
3111022021122200210
423120113232100
5342340004000
630540244120
74505642361
oct1330275620
9438248623
10190938000
1198863600
1253b40640
1330733686
141b503b68
1511b69350
hexb617b90

190938000 has 240 divisors, whose sum is σ = 679206528. Its totient is φ = 46112000.

The previous prime is 190937977. The next prime is 190938029. The reversal of 190938000 is 839091.

It is a happy number.

190938000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 725869 + ... + 726131.

Almost surely, 2190938000 is an apocalyptic number.

190938000 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 190938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339603264).

190938000 is an abundant number, since it is smaller than the sum of its proper divisors (488268528).

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

190938000 is a wasteful number, since it uses less digits than its factorization.

190938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 190938000 is about 13818.0316977491. The cubic root of 190938000 is about 575.8342018948.

The spelling of 190938000 in words is "one hundred ninety million, nine hundred thirty-eight thousand".