Search a number
-
+
190190336 = 287211503
BaseRepresentation
bin10110101011000…
…01001100000000
3111020212200002112
423111201030000
5342142042321
630512234452
74466406530
oct1325411400
9436780075
10190190336
11983a28a6
125383ba28
133053127b
141b38b4c0
1511a6ca5b
hexb561300

190190336 has 72 divisors (see below), whose sum is σ = 436794624. Its totient is φ = 80962560.

The previous prime is 190190311. The next prime is 190190347. The reversal of 190190336 is 633091091.

190190336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377861 + ... + 378363.

It is an arithmetic number, because the mean of its divisors is an integer number (6066592).

Almost surely, 2190190336 is an apocalyptic number.

190190336 is a gapful number since it is divisible by the number (16) 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 190190336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218397312).

190190336 is an abundant number, since it is smaller than the sum of its proper divisors (246604288).

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

190190336 is an equidigital number, since it uses as much as digits as its factorization.

190190336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 190190336 is about 13790.9512362273. The cubic root of 190190336 is about 575.0816126124.

The spelling of 190190336 in words is "one hundred ninety million, one hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 211 224 256 422 448 503 844 896 1006 1477 1688 1792 2012 2954 3376 3521 4024 5908 6752 7042 8048 11816 13504 14084 16096 23632 27008 28168 32192 47264 54016 56336 64384 94528 106133 112672 128768 189056 212266 225344 378112 424532 450688 742931 849064 901376 1485862 1698128 2971724 3396256 5943448 6792512 11886896 13585024 23773792 27170048 47547584 95095168 190190336