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19989840 = 24351343149
BaseRepresentation
bin100110001000…
…0010101010000
31101121120220110
41030100111100
520104133330
61552241320
7331624263
oct114202520
941546813
1019989840
1110313732
126840240
1341ab910
142924cda
151b4cdb0
hex1310550

19989840 has 160 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 4773888.

The previous prime is 19989839. The next prime is 19989859. The reversal of 19989840 is 4898991.

It is a Cunningham number, because it is equal to 44712-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19989840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134086 + ... + 134234.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 219989840 is an apocalyptic number.

19989840 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 19989840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

19989840 is an abundant number, since it is smaller than the sum of its proper divisors (48755760).

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

19989840 is a wasteful number, since it uses less digits than its factorization.

19989840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 19989840 is about 4470.9998881682. Note that the first 3 decimals coincide. The cubic root of 19989840 is about 271.3957897357.

The spelling of 19989840 in words is "nineteen million, nine hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 43 48 52 60 65 78 80 86 104 120 129 130 149 156 172 195 208 215 240 258 260 298 312 344 390 430 447 516 520 559 596 624 645 688 745 780 860 894 1032 1040 1118 1192 1290 1490 1560 1677 1720 1788 1937 2064 2235 2236 2384 2580 2795 2980 3120 3354 3440 3576 3874 4470 4472 5160 5590 5811 5960 6407 6708 7152 7748 8385 8940 8944 9685 10320 11180 11622 11920 12814 13416 15496 16770 17880 19221 19370 22360 23244 25628 26832 29055 30992 32035 33540 35760 38442 38740 44720 46488 51256 58110 64070 67080 76884 77480 83291 92976 96105 102512 116220 128140 134160 153768 154960 166582 192210 232440 249873 256280 307536 333164 384420 416455 464880 499746 512560 666328 768840 832910 999492 1249365 1332656 1537680 1665820 1998984 2498730 3331640 3997968 4997460 6663280 9994920 19989840