Search a number
-
+
190368840 = 2335101113139
BaseRepresentation
bin10110101100011…
…00110001001000
3111021012201221210
423112030301020
5342213300330
630520133120
74501052124
oct1326146110
9437181853
10190368840
1198504a22
12539071a0
13305945ac
141b3d6584
1511aa58b0
hexb58cc48

190368840 has 128 divisors (see below), whose sum is σ = 586051200. Its totient is φ = 49459200.

The previous prime is 190368817. The next prime is 190368853. The reversal of 190368840 is 48863091.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369491 + ... + 1369629.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2190368840 is an apocalyptic number.

190368840 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 190368840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

190368840 is an abundant number, since it is smaller than the sum of its proper divisors (395682360).

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

190368840 is a wasteful number, since it uses less digits than its factorization.

190368840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 190368840 is about 13797.4214982365. The cubic root of 190368840 is about 575.2614715044.

The spelling of 190368840 in words is "one hundred ninety million, three hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 113 120 139 202 226 278 303 339 404 417 452 505 556 565 606 678 695 808 834 904 1010 1112 1130 1212 1356 1390 1515 1668 1695 2020 2085 2260 2424 2712 2780 3030 3336 3390 4040 4170 4520 5560 6060 6780 8340 11413 12120 13560 14039 15707 16680 22826 28078 31414 34239 42117 45652 47121 56156 57065 62828 68478 70195 78535 84234 91304 94242 112312 114130 125656 136956 140390 157070 168468 171195 188484 210585 228260 235605 273912 280780 314140 336936 342390 376968 421170 456520 471210 561560 628280 684780 842340 942420 1369560 1586407 1684680 1884840 3172814 4759221 6345628 7932035 9518442 12691256 15864070 19036884 23796105 31728140 38073768 47592210 63456280 95184420 190368840