Search a number
-
+
190467420 = 2235111379281
BaseRepresentation
bin10110101101001…
…00110101011100
3111021101202011220
423112210311130
5342224424140
630522213340
74501642413
oct1326446534
9437352156
10190467420
1198571aa0
1253954250
13305ca420
141b42047a
1511ac4bd0
hexb5a4d5c

190467420 has 192 divisors, whose sum is σ = 636733440. Its totient is φ = 41932800.

The previous prime is 190467413. The next prime is 190467421. The reversal of 190467420 is 24764091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190467421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677680 + ... + 677960.

It is an arithmetic number, because the mean of its divisors is an integer number (3316320).

Almost surely, 2190467420 is an apocalyptic number.

190467420 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 190467420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318366720).

190467420 is an abundant number, since it is smaller than the sum of its proper divisors (446266020).

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

190467420 is a wasteful number, since it uses less digits than its factorization.

190467420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 190467420 is about 13800.9934425026. The cubic root of 190467420 is about 575.3607515651.

The spelling of 190467420 in words is "one hundred ninety million, four hundred sixty-seven thousand, four hundred twenty".