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190124200 = 23527139977
BaseRepresentation
bin10110101010100…
…01000010101000
3111020202022101001
423111101002220
5342132433300
630511004344
74466012650
oct1325210250
9436668331
10190124200
1198358142
12538096b4
133050a136
141b371360
1511a5816a
hexb5510a8

190124200 has 96 divisors (see below), whose sum is σ = 509342400. Its totient is φ = 64650240.

The previous prime is 190124191. The next prime is 190124219. The reversal of 190124200 is 2421091.

It is a super-2 number, since 2×1901242002 = 72294422851280000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 194112 + ... + 195088.

It is an arithmetic number, because the mean of its divisors is an integer number (5305650).

Almost surely, 2190124200 is an apocalyptic number.

190124200 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 190124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254671200).

190124200 is an abundant number, since it is smaller than the sum of its proper divisors (319218200).

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

190124200 is a wasteful number, since it uses less digits than its factorization.

190124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 190124200 is about 13788.5532235982. The cubic root of 190124200 is about 575.0149460513.

Adding to 190124200 its reverse (2421091), we get a palindrome (192545291).

The spelling of 190124200 in words is "one hundred ninety million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 139 140 175 200 278 280 350 556 695 700 973 977 1112 1390 1400 1946 1954 2780 3475 3892 3908 4865 4885 5560 6839 6950 7784 7816 9730 9770 13678 13900 19460 19540 24325 24425 27356 27800 34195 38920 39080 48650 48850 54712 68390 97300 97700 135803 136780 170975 194600 195400 271606 273560 341950 543212 679015 683900 950621 1086424 1358030 1367800 1901242 2716060 3395075 3802484 4753105 5432120 6790150 7604968 9506210 13580300 19012420 23765525 27160600 38024840 47531050 95062100 190124200