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1940543120 = 245232941887
BaseRepresentation
bin111001110101010…
…0101011010010000
312000020110210201102
41303222211122100
512433234334440
6520320323532
766042226055
oct16352453220
95006423642
101940543120
1190642784a
12461a735a8
1324c05a689
14145a1d02c
15b556ab15
hex73aa5690

1940543120 has 160 divisors (see below), whose sum is σ = 4994680320. Its totient is φ = 698593280.

The previous prime is 1940542993. The next prime is 1940543141. The reversal of 1940543120 is 213450491.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 2187317 + ... + 2188203.

It is an arithmetic number, because the mean of its divisors is an integer number (31216752).

Almost surely, 21940543120 is an apocalyptic number.

1940543120 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 1940543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497340160).

1940543120 is an abundant number, since it is smaller than the sum of its proper divisors (3054137200).

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

1940543120 is a wasteful number, since it uses less digits than its factorization.

1940543120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1940543120 is about 44051.5961118323. The cubic root of 1940543120 is about 1247.3100812218.

The spelling of 1940543120 in words is "one billion, nine hundred forty million, five hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 41 46 58 80 82 92 115 116 145 164 184 205 230 232 290 328 368 410 460 464 580 656 667 820 887 920 943 1160 1189 1334 1640 1774 1840 1886 2320 2378 2668 3280 3335 3548 3772 4435 4715 4756 5336 5945 6670 7096 7544 8870 9430 9512 10672 11890 13340 14192 15088 17740 18860 19024 20401 23780 25723 26680 27347 35480 36367 37720 40802 47560 51446 53360 54694 70960 72734 75440 81604 95120 102005 102892 109388 128615 136735 145468 163208 181835 204010 205784 218776 257230 273470 290936 326416 363670 408020 411568 437552 514460 546940 581872 591629 727340 816040 836441 1028920 1054643 1093880 1183258 1454680 1632080 1672882 2057840 2109286 2187760 2366516 2909360 2958145 3345764 4182205 4218572 4733032 5273215 5916290 6691528 8364410 8437144 9466064 10546430 11832580 13383056 16728820 16874288 21092860 23665160 24256789 33457640 42185720 47330320 48513578 66915280 84371440 97027156 121283945 194054312 242567890 388108624 485135780 970271560 1940543120