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190466640 = 243457131719
BaseRepresentation
bin10110101101001…
…00101001010000
3111021101201010000
423112210221100
5342224413030
630522210000
74501640220
oct1326445120
9437351100
10190466640
1198571451
1253953900
13305c9c70
141b420080
1511ac4860
hexb5a4a50

190466640 has 800 divisors, whose sum is σ = 907441920. Its totient is φ = 35831808.

The previous prime is 190466629. The next prime is 190466677. The reversal of 190466640 is 46664091.

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

It is a junction number, because it is equal to n+sod(n) for n = 190466595 and 190466604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10024551 + ... + 10024569.

Almost surely, 2190466640 is an apocalyptic number.

190466640 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 190466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

190466640 is an abundant number, since it is smaller than the sum of its proper divisors (716975280).

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

190466640 is a wasteful number, since it uses less digits than its factorization.

190466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 190466640 is about 13800.9651836384. The cubic root of 190466640 is about 575.3599661604.

The spelling of 190466640 in words is "one hundred ninety million, four hundred sixty-six thousand, six hundred forty".