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189921006 = 232111019497
BaseRepresentation
bin10110101000111…
…11011011101110
3111020100222122100
423110133123232
5342104433011
630502355530
74464205362
oct1324373356
9436328570
10189921006
1198229510
125372bba6
13304687c2
141b31b2a2
1511a17d56
hexb51f6ee

189921006 has 48 divisors (see below), whose sum is σ = 453396528. Its totient is φ = 56976000.

The previous prime is 189921001. The next prime is 189921013. The reversal of 189921006 is 600129981.

189921006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189921001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15250 + ... + 24746.

It is an arithmetic number, because the mean of its divisors is an integer number (9445761).

Almost surely, 2189921006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189921006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226698264).

189921006 is an abundant number, since it is smaller than the sum of its proper divisors (263475522).

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

189921006 is a wasteful number, since it uses less digits than its factorization.

189921006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9617 (or 9614 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 189921006 is about 13781.1830406537. The cubic root of 189921006 is about 574.8100252057.

The spelling of 189921006 in words is "one hundred eighty-nine million, nine hundred twenty-one thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1818 2222 3333 6666 9497 9999 18994 19998 28491 56982 85473 104467 170946 208934 313401 626802 940203 959197 1880406 1918394 2877591 5755182 8632773 10551167 17265546 21102334 31653501 63307002 94960503 189921006