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190797768 = 2335722003
BaseRepresentation
bin10110101111101…
…01011111001000
3111022000112100000
423113311133020
5342321012033
630533243000
74504516500
oct1327653710
9438015300
10190797768
1198778207
1253a93460
13306b48b5
141b4a8a00
1511b3ca13
hexb5f57c8

190797768 has 144 divisors (see below), whose sum is σ = 623684880. Its totient is φ = 54486432.

The previous prime is 190797767. The next prime is 190797773. The reversal of 190797768 is 867797091.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (190797767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94255 + ... + 96257.

It is an arithmetic number, because the mean of its divisors is an integer number (4331145).

Almost surely, 2190797768 is an apocalyptic number.

190797768 is a gapful number since it is divisible by the number (18) 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 190797768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311842440).

190797768 is an abundant number, since it is smaller than the sum of its proper divisors (432887112).

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

190797768 is a wasteful number, since it uses less digits than its factorization.

190797768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The square root of 190797768 is about 13812.9565263922. The cubic root of 190797768 is about 575.6931959861.

The spelling of 190797768 in words is "one hundred ninety million, seven hundred ninety-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2003 2268 2646 3402 3528 3969 4006 4536 5292 6009 6804 7938 8012 10584 11907 12018 13608 14021 15876 16024 18027 23814 24036 28042 31752 36054 42063 47628 48072 54081 56084 72108 84126 95256 98147 108162 112168 126189 144216 162243 168252 196294 216324 252378 294441 324486 336504 378567 392588 432648 486729 504756 588882 648972 757134 785176 883323 973458 1009512 1135701 1177764 1297944 1514268 1766646 1946916 2271402 2355528 2649969 3028536 3407103 3533292 3893832 4542804 5299938 6814206 7066584 7949907 9085608 10599876 13628412 15899814 21199752 23849721 27256824 31799628 47699442 63599256 95398884 190797768