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1938823680 = 2935376823
BaseRepresentation
bin111001110010000…
…0001101000000000
312000010020110002110
41303210001220000
512432314324210
6520215415320
766021505113
oct16344015000
95003213073
101938823680
11905462a22
12461384540
1324b8a7b61
141456d257a
15b532b420
hex73901a00

1938823680 has 160 divisors (see below), whose sum is σ = 6366628224. Its totient is φ = 502972416.

The previous prime is 1938823651. The next prime is 1938823723. The reversal of 1938823680 is 863288391.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280749 + ... + 287571.

Almost surely, 21938823680 is an apocalyptic number.

1938823680 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 1938823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183314112).

1938823680 is an abundant number, since it is smaller than the sum of its proper divisors (4427804544).

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

1938823680 is an equidigital number, since it uses as much as digits as its factorization.

1938823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6886 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1938823680 is about 44032.0755813305. The cubic root of 1938823680 is about 1246.9415746640.

The spelling of 1938823680 in words is "one billion, nine hundred thirty-eight million, eight hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 512 555 592 640 740 768 888 960 1110 1184 1280 1480 1536 1776 1920 2220 2368 2560 2960 3552 3840 4440 4736 5920 6823 7104 7680 8880 9472 11840 13646 14208 17760 18944 20469 23680 27292 28416 34115 35520 40938 47360 54584 56832 68230 71040 81876 94720 102345 109168 136460 142080 163752 204690 218336 252451 272920 284160 327504 409380 436672 504902 545840 655008 757353 818760 873344 1009804 1091680 1262255 1310016 1514706 1637520 1746688 2019608 2183360 2524510 2620032 3029412 3275040 3493376 3786765 4039216 4366720 5049020 5240064 6058824 6550080 7573530 8078432 8733440 10098040 10480128 12117648 13100160 15147060 16156864 17466880 20196080 24235296 26200320 30294120 32313728 40392160 48470592 52400640 60588240 64627456 80784320 96941184 121176480 129254912 161568640 193882368 242352960 323137280 387764736 484705920 646274560 969411840 1938823680