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190328320 = 2957131943
BaseRepresentation
bin10110101100000…
…10111000000000
3111021010200101001
423112002320000
5342211001240
630515221344
74500523030
oct1326027000
9437120331
10190328320
1198487536
12538a7854
133057c010
141b3c58c0
1511a9889a
hexb582e00

190328320 has 320 divisors, whose sum is σ = 604961280. Its totient is φ = 55738368.

The previous prime is 190328267. The next prime is 190328323. The reversal of 190328320 is 23823091.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190328323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4426219 + ... + 4426261.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2190328320 is an apocalyptic number.

190328320 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 190328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

190328320 is an abundant number, since it is smaller than the sum of its proper divisors (414632960).

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

190328320 is a wasteful number, since it uses less digits than its factorization.

190328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 190328320 is about 13795.9530297838. The cubic root of 190328320 is about 575.2206538145.

The spelling of 190328320 in words is "one hundred ninety million, three hundred twenty-eight thousand, three hundred twenty".