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189966084 = 223711832477
BaseRepresentation
bin10110101001010…
…10011100000100
3111020110021110220
423110222130010
5342112403314
630503344340
74464453660
oct1324523404
9436407426
10189966084
119825a370
12537520b0
1330483189
141b32d8a0
1511a263a9
hexb52a704

189966084 has 96 divisors (see below), whose sum is σ = 559512576. Its totient is φ = 48727680.

The previous prime is 189966083. The next prime is 189966089. The reversal of 189966084 is 480669981.

It is a happy number.

It is a super-2 number, since 2×1899660842 = 72174226140590112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189966083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75454 + ... + 77930.

It is an arithmetic number, because the mean of its divisors is an integer number (5828256).

Almost surely, 2189966084 is an apocalyptic number.

189966084 is a gapful number since it is divisible by the number (14) 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 189966084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279756288).

189966084 is an abundant number, since it is smaller than the sum of its proper divisors (369546492).

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

189966084 is a wasteful number, since it uses less digits than its factorization.

189966084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 189966084 is about 13782.8184345583. The cubic root of 189966084 is about 574.8554989127.

The spelling of 189966084 in words is "one hundred eighty-nine million, nine hundred sixty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 83 84 132 154 166 231 249 308 332 462 498 581 913 924 996 1162 1743 1826 2324 2477 2739 3486 3652 4954 5478 6391 6972 7431 9908 10956 12782 14862 17339 19173 25564 27247 29724 34678 38346 52017 54494 69356 76692 81741 104034 108988 163482 190729 205591 208068 326964 381458 411182 572187 616773 762916 822364 1144374 1233546 1439137 2261501 2288748 2467092 2878274 4317411 4523002 5756548 6784503 8634822 9046004 13569006 15830507 17269644 27138012 31661014 47491521 63322028 94983042 189966084