Search a number
-
+
190890378 = 23372193797
BaseRepresentation
bin10110110000011…
…00000110001010
3111022012020101000
423120030012022
5342331443003
630535235430
74505353500
oct1330140612
9438166330
10190890378
1198830848
1253b18b76
1330717ab3
141b4d0670
1511b5a1a3
hexb60c18a

190890378 has 96 divisors (see below), whose sum is σ = 519566400. Its totient is φ = 51655968.

The previous prime is 190890377. The next prime is 190890389. The reversal of 190890378 is 873098091.

190890378 is a `hidden beast` number, since 190 + 8 + 90 + 378 = 666.

It is not an unprimeable number, because it can be changed into a prime (190890377) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 48376 + ... + 52172.

It is an arithmetic number, because the mean of its divisors is an integer number (5412150).

Almost surely, 2190890378 is an apocalyptic number.

190890378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 190890378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259783200).

190890378 is an abundant number, since it is smaller than the sum of its proper divisors (328676022).

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

190890378 is a wasteful number, since it uses less digits than its factorization.

190890378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 190890378 is about 13816.3084070963. The cubic root of 190890378 is about 575.7863248239.

The spelling of 190890378 in words is "one hundred ninety million, eight hundred ninety thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 378 399 441 513 798 882 931 1026 1197 1323 1862 2394 2646 2793 3591 3797 5586 7182 7594 8379 11391 16758 22782 25137 26579 34173 50274 53158 68346 72143 79737 102519 144286 159474 186053 205038 216429 239211 372106 432858 478422 505001 558159 649287 717633 1010002 1116318 1298574 1435266 1515003 1674477 1947861 3030006 3348954 3535007 3895722 4545009 5023431 7070014 9090018 10046862 10605021 13635027 21210042 27270054 31815063 63630126 95445189 190890378