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189049280 = 2657372281
BaseRepresentation
bin10110100010010…
…10100111000000
3111011201200212012
423101022213000
5341344034110
630431552052
74453615040
oct1321124700
9434650765
10189049280
1197793582
125338b628
1330221aa4
141b171720
15118e4905
hexb44a9c0

189049280 has 112 divisors (see below), whose sum is σ = 528620736. Its totient is φ = 63037440.

The previous prime is 189049247. The next prime is 189049321. The reversal of 189049280 is 82940981.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81740 + ... + 84020.

It is an arithmetic number, because the mean of its divisors is an integer number (4719828).

Almost surely, 2189049280 is an apocalyptic number.

189049280 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 189049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264310368).

189049280 is an abundant number, since it is smaller than the sum of its proper divisors (339571456).

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

189049280 is a wasteful number, since it uses less digits than its factorization.

189049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 189049280 is about 13749.5192643234. The cubic root of 189049280 is about 573.9292284066.

The spelling of 189049280 in words is "one hundred eighty-nine million, forty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 224 259 280 296 320 370 448 518 560 592 740 1036 1120 1184 1295 1480 2072 2240 2281 2368 2590 2960 4144 4562 5180 5920 8288 9124 10360 11405 11840 15967 16576 18248 20720 22810 31934 36496 41440 45620 63868 72992 79835 82880 84397 91240 127736 145984 159670 168794 182480 255472 319340 337588 364960 421985 510944 590779 638680 675176 729920 843970 1021888 1181558 1277360 1350352 1687940 2363116 2554720 2700704 2953895 3375880 4726232 5109440 5401408 5907790 6751760 9452464 11815580 13503520 18904928 23631160 27007040 37809856 47262320 94524640 189049280