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189738640 = 24571367389
BaseRepresentation
bin10110100111100…
…10111010010000
3111020000201111001
423103302322100
5342033114030
630454431344
74462515610
oct1323627220
9436021431
10189738640
11981144a3
1253662554
13304037b0
141b2b0a40
15119cdcca
hexb4f2e90

189738640 has 160 divisors (see below), whose sum is σ = 552464640. Its totient is φ = 59000832.

The previous prime is 189738623. The next prime is 189738643. The reversal of 189738640 is 46837981.

It is a happy number.

189738640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (189738643) 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, 487566 + ... + 487954.

It is an arithmetic number, because the mean of its divisors is an integer number (3452904).

Almost surely, 2189738640 is an apocalyptic number.

189738640 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 189738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276232320).

189738640 is an abundant number, since it is smaller than the sum of its proper divisors (362726000).

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

189738640 is a wasteful number, since it uses less digits than its factorization.

189738640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 189738640 is about 13774.5649659073. The cubic root of 189738640 is about 574.6259848738.

The spelling of 189738640 in words is "one hundred eighty-nine million, seven hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 67 70 80 91 104 112 130 134 140 182 208 260 268 280 335 364 389 455 469 520 536 560 670 728 778 871 910 938 1040 1072 1340 1456 1556 1742 1820 1876 1945 2345 2680 2723 3112 3484 3640 3752 3890 4355 4690 5057 5360 5446 6097 6224 6968 7280 7504 7780 8710 9380 10114 10892 12194 13615 13936 15560 17420 18760 20228 21784 24388 25285 26063 27230 30485 31120 34840 35399 37520 40456 43568 48776 50570 52126 54460 60970 69680 70798 80912 97552 101140 104252 108920 121940 130315 141596 176995 182441 202280 208504 217840 243880 260630 283192 338819 353990 364882 404560 417008 487760 521260 566384 677638 707980 729764 912205 1042520 1355276 1415960 1459528 1694095 1824410 2085040 2371733 2710552 2831920 2919056 3388190 3648820 4743466 5421104 6776380 7297640 9486932 11858665 13552760 14595280 18973864 23717330 27105520 37947728 47434660 94869320 189738640