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189341064 = 233411101263
BaseRepresentation
bin10110100100100…
…01110110001000
3111012021112010000
423102101312020
5341432403224
630442123000
74456241523
oct1322216610
9435245100
10189341064
1197972820
12534b0460
13302c4843
141b209bba
15119510c9
hexb491d88

189341064 has 160 divisors (see below), whose sum is σ = 586491840. Its totient is φ = 56592000.

The previous prime is 189341063. The next prime is 189341077. The reversal of 189341064 is 460143981.

189341064 is a `hidden beast` number, since 189 + 3 + 410 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (189341063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 719797 + ... + 720059.

It is an arithmetic number, because the mean of its divisors is an integer number (3665574).

Almost surely, 2189341064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189341064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293245920).

189341064 is an abundant number, since it is smaller than the sum of its proper divisors (397150776).

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

189341064 is a wasteful number, since it uses less digits than its factorization.

189341064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 189341064 is about 13760.1258715173. The cubic root of 189341064 is about 574.2243494881.

The spelling of 189341064 in words is "one hundred eighty-nine million, three hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 101 108 132 162 198 202 216 263 264 297 303 324 396 404 526 594 606 648 789 792 808 891 909 1052 1111 1188 1212 1578 1782 1818 2104 2222 2367 2376 2424 2727 2893 3156 3333 3564 3636 4444 4734 5454 5786 6312 6666 7101 7128 7272 8181 8679 8888 9468 9999 10908 11572 13332 14202 16362 17358 18936 19998 21303 21816 23144 26037 26563 26664 28404 29997 32724 34716 39996 42606 52074 53126 56808 59994 65448 69432 78111 79689 79992 85212 89991 104148 106252 119988 156222 159378 170424 179982 208296 212504 234333 239067 239976 292193 312444 318756 359964 468666 478134 584386 624888 637512 717201 719928 876579 937332 956268 1168772 1434402 1753158 1874664 1912536 2151603 2337544 2629737 2868804 3506316 4303206 5259474 5737608 7012632 7889211 8606412 10518948 15778422 17212824 21037896 23667633 31556844 47335266 63113688 94670532 189341064