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190065824 = 25131632803
BaseRepresentation
bin10110101010000…
…10110010100000
3111020122100021222
423111002302200
5342124101244
630505434212
74465350524
oct1325026240
9436570258
10190065824
11983182a3
125379b968
13304b96b0
141b357d84
1511a45bee
hexb542ca0

190065824 has 48 divisors (see below), whose sum is σ = 405592992. Its totient is φ = 87153408.

The previous prime is 190065823. The next prime is 190065839. The reversal of 190065824 is 428560091.

It is a super-2 number, since 2×1900658242 = 72250034905597952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190065823) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 66407 + ... + 69209.

It is an arithmetic number, because the mean of its divisors is an integer number (8449854).

Almost surely, 2190065824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190065824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202796496).

190065824 is an abundant number, since it is smaller than the sum of its proper divisors (215527168).

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

190065824 is a wasteful number, since it uses less digits than its factorization.

190065824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 190065824 is about 13786.4362327615. The cubic root of 190065824 is about 574.9560888962.

The spelling of 190065824 in words is "one hundred ninety million, sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 163 208 326 416 652 1304 2119 2608 2803 4238 5216 5606 8476 11212 16952 22424 33904 36439 44848 67808 72878 89696 145756 291512 456889 583024 913778 1166048 1827556 3655112 5939557 7310224 11879114 14620448 23758228 47516456 95032912 190065824