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190666080 = 253251112037
BaseRepresentation
bin10110101110101…
…01010101100000
3111021202211200200
423113111111200
5342302303310
630530345200
74503430533
oct1327252540
9437684620
10190666080
1198698280
1253a2b200
1330669987
141b472a1a
1511b139c0
hexb5d5560

190666080 has 144 divisors (see below), whose sum is σ = 709856784. Its totient is φ = 46218240.

The previous prime is 190666009. The next prime is 190666103. The reversal of 190666080 is 80666091.

190666080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9822 + ... + 21858.

It is an arithmetic number, because the mean of its divisors is an integer number (4929561).

Almost surely, 2190666080 is an apocalyptic number.

190666080 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 190666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354928392).

190666080 is an abundant number, since it is smaller than the sum of its proper divisors (519190704).

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

190666080 is a wasteful number, since it uses less digits than its factorization.

190666080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12069 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 190666080 is about 13808.1888747221. The cubic root of 190666080 is about 575.5607183113.

The spelling of 190666080 in words is "one hundred ninety million, six hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 12037 15840 24074 36111 48148 60185 72222 96296 108333 120370 132407 144444 180555 192592 216666 240740 264814 288888 361110 385184 397221 433332 481480 529628 541665 577776 662035 722220 794442 866664 962960 1059256 1083330 1155552 1191663 1324070 1444440 1588884 1733328 1925920 1986105 2118512 2166660 2383326 2648140 2888880 3177768 3466656 3972210 4237024 4333320 4766652 5296280 5777760 5958315 6355536 7944420 8666640 9533304 10592560 11916630 12711072 15888840 17333280 19066608 21185120 23833260 31777680 38133216 47666520 63555360 95333040 190666080