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190848000 = 210353771
BaseRepresentation
bin10110110000000…
…01110000000000
3111022010002020110
423120001300000
5342324114000
630534311320
74505116110
oct1330016000
9438102213
10190848000
1198801a22
1253ab8540
1330701715
141b4bd040
1511b4c850
hexb601c00

190848000 has 352 divisors, whose sum is σ = 735740928. Its totient is φ = 43008000.

The previous prime is 190847999. The next prime is 190848011. The reversal of 190848000 is 848091.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687965 + ... + 2688035.

Almost surely, 2190848000 is an apocalyptic number.

190848000 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 190848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367870464).

190848000 is an abundant number, since it is smaller than the sum of its proper divisors (544892928).

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

190848000 is an equidigital number, since it uses as much as digits as its factorization.

190848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 190848000 is about 13814.7746995744. The cubic root of 190848000 is about 575.7437131445.

The spelling of 190848000 in words is "one hundred ninety million, eight hundred forty-eight thousand".