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190571940 = 22345139049
BaseRepresentation
bin10110101101111…
…10010110100100
3111021121001120000
423112332112210
5342241300230
630524341300
74502556216
oct1326762644
9437531500
10190571940
1198633579
12539a4830
1330635b80
141b44a5b6
1511ae5b60
hexb5be5a4

190571940 has 120 divisors (see below), whose sum is σ = 643889400. Its totient is φ = 46904832.

The previous prime is 190571933. The next prime is 190571971. The reversal of 190571940 is 49175091.

It can be written as a sum of positive squares in 4 ways, for example, as 17438976 + 173132964 = 4176^2 + 13158^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 190571895 and 190571904.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16536 + ... + 25584.

It is an arithmetic number, because the mean of its divisors is an integer number (5365745).

Almost surely, 2190571940 is an apocalyptic number.

190571940 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 190571940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321944700).

190571940 is an abundant number, since it is smaller than the sum of its proper divisors (453317460).

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

190571940 is a wasteful number, since it uses less digits than its factorization.

190571940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9083 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 190571940 is about 13804.7796070781. The cubic root of 190571940 is about 575.4659764009.

The spelling of 190571940 in words is "one hundred ninety million, five hundred seventy-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 9049 10530 18098 21060 27147 36196 45245 54294 81441 90490 108588 117637 135735 162882 180980 235274 244323 271470 325764 352911 407205 470548 488646 542940 588185 705822 732969 814410 977292 1058733 1176370 1221615 1411644 1465938 1628820 1764555 2117466 2352740 2443230 2931876 3176199 3529110 3664845 4234932 4886460 5293665 6352398 7058220 7329690 9528597 10587330 12704796 14659380 15880995 19057194 21174660 31761990 38114388 47642985 63523980 95285970 190571940