Search a number
-
+
190329480 = 233351137433
BaseRepresentation
bin10110101100000…
…11001010001000
3111021010201222000
423112003022020
5342211020410
630515231000
74500526305
oct1326031210
9437121860
10190329480
11984883a0
12538a8460
133057c6c3
141b3c60ac
1511a98dc0
hexb583288

190329480 has 256 divisors, whose sum is σ = 712454400. Its totient is φ = 44789760.

The previous prime is 190329361. The next prime is 190329521. The reversal of 190329480 is 84923091.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439344 + ... + 439776.

It is an arithmetic number, because the mean of its divisors is an integer number (2783025).

Almost surely, 2190329480 is an apocalyptic number.

190329480 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 190329480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

190329480 is an abundant number, since it is smaller than the sum of its proper divisors (522124920).

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

190329480 is a wasteful number, since it uses less digits than its factorization.

190329480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 190329480 is about 13795.9950710342. The cubic root of 190329480 is about 575.2218224173.

The spelling of 190329480 in words is "one hundred ninety million, three hundred twenty-nine thousand, four hundred eighty".