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20319840 = 25325103137
BaseRepresentation
bin100110110000…
…0111001100000
31102020100120200
41031200321200
520200213330
62003305200
7334500342
oct115407140
942210520
1020319840
1110519662
12697b200
134295b98
1429ad292
151bb5a60
hex1360e60

20319840 has 144 divisors (see below), whose sum is σ = 70525728. Its totient is φ = 5326848.

The previous prime is 20319823. The next prime is 20319853. The reversal of 20319840 is 4891302.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148252 + ... + 148388.

It is an arithmetic number, because the mean of its divisors is an integer number (489762).

Almost surely, 220319840 is an apocalyptic number.

20319840 is a gapful number since it is divisible by the number (20) 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 20319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35262864).

20319840 is an abundant number, since it is smaller than the sum of its proper divisors (50205888).

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

20319840 is a wasteful number, since it uses less digits than its factorization.

20319840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20319840 is about 4507.7533206687. The cubic root of 20319840 is about 272.8810817254.

The spelling of 20319840 in words is "twenty million, three hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 103 120 137 144 160 180 206 240 274 288 309 360 411 412 480 515 548 618 685 720 822 824 927 1030 1096 1233 1236 1370 1440 1545 1644 1648 1854 2055 2060 2192 2466 2472 2740 3090 3288 3296 3708 4110 4120 4384 4635 4932 4944 5480 6165 6180 6576 7416 8220 8240 9270 9864 9888 10960 12330 12360 13152 14111 14832 16440 16480 18540 19728 21920 24660 24720 28222 29664 32880 37080 39456 42333 49320 49440 56444 65760 70555 74160 84666 98640 112888 126999 141110 148320 169332 197280 211665 225776 253998 282220 338664 423330 451552 507996 564440 634995 677328 846660 1015992 1128880 1269990 1354656 1693320 2031984 2257760 2539980 3386640 4063968 5079960 6773280 10159920 20319840