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190661000 = 2353375153
BaseRepresentation
bin10110101110101…
…00000110001000
3111021202120201112
423113110012020
5342302123000
630530305452
74503406655
oct1327240610
9437676645
10190661000
1198694482
1253a28288
133066757a
141b470c2c
1511b12235
hexb5d4188

190661000 has 64 divisors (see below), whose sum is σ = 458293680. Its totient is φ = 74188800.

The previous prime is 190660979. The next prime is 190661017. The reversal of 190661000 is 166091.

It can be written as a sum of positive squares in 8 ways, for example, as 39715204 + 150945796 = 6302^2 + 12286^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34424 + ... + 39576.

Almost surely, 2190661000 is an apocalyptic number.

190661000 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 190661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229146840).

190661000 is an abundant number, since it is smaller than the sum of its proper divisors (267632680).

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

190661000 is a wasteful number, since it uses less digits than its factorization.

190661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 190661000 is about 13808.0049246805. The cubic root of 190661000 is about 575.5556066270. Note that the first 3 decimals are identical.

The spelling of 190661000 in words is "one hundred ninety million, six hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 3700 4625 5153 7400 9250 10306 18500 20612 25765 37000 41224 51530 103060 128825 190661 206120 257650 381322 515300 644125 762644 953305 1030600 1288250 1525288 1906610 2576500 3813220 4766525 5153000 7626440 9533050 19066100 23832625 38132200 47665250 95330500 190661000