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189420984 = 23334173293
BaseRepresentation
bin10110100101001…
…01010110111000
3111012102120202000
423102211112320
5341442432414
630443541000
74460023524
oct1322452670
9435376660
10189420984
1197a17875
125352a760
133032202c
141b22ad84
1511969b09
hexb4a55b8

189420984 has 128 divisors (see below), whose sum is σ = 548251200. Its totient is φ = 60549120.

The previous prime is 189420949. The next prime is 189420989. The reversal of 189420984 is 489024981.

189420984 is digitally balanced in base 2, 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 (189420989) 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, 646342 + ... + 646634.

Almost surely, 2189420984 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 189420984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274125600).

189420984 is an abundant number, since it is smaller than the sum of its proper divisors (358830216).

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

189420984 is a wasteful number, since it uses less digits than its factorization.

189420984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 189420984 is about 13763.0296083384. The cubic root of 189420984 is about 574.3051306168.

The spelling of 189420984 in words is "one hundred eighty-nine million, four hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 73 82 108 123 146 164 216 219 246 292 293 328 369 438 492 584 586 657 738 876 879 984 1107 1172 1314 1476 1752 1758 1971 2214 2344 2628 2637 2952 2993 3516 3942 4428 5256 5274 5986 7032 7884 7911 8856 8979 10548 11972 12013 15768 15822 17958 21096 21389 23944 24026 26937 31644 35916 36039 42778 48052 53874 63288 64167 71832 72078 80811 85556 96104 107748 108117 128334 144156 161622 171112 192501 215496 216234 256668 288312 323244 324351 385002 432468 513336 577503 646488 648702 770004 864936 876949 1155006 1297404 1540008 1753898 2310012 2594808 2630847 3507796 4620024 5261694 7015592 7892541 10523388 15785082 21046776 23677623 31570164 47355246 63140328 94710492 189420984