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1640842840 = 2357133531277
BaseRepresentation
bin110000111001101…
…0100011001011000
311020100112110020001
41201303110121120
511330023432330
6430452542344
755442635240
oct14163243130
94210473201
101640842840
1177223856a
123996219b4
13201c36130
14117cc6b20
15990ba9ca
hex61cd4658

1640842840 has 128 divisors (see below), whose sum is σ = 4560312960. Its totient is φ = 517423104.

The previous prime is 1640842817. The next prime is 1640842867. The reversal of 1640842840 is 482480461.

It is a self number, because there is not a number n which added to its sum of digits gives 1640842840.

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, 1284282 + ... + 1285558.

It is an arithmetic number, because the mean of its divisors is an integer number (35627445).

Almost surely, 21640842840 is an apocalyptic number.

1640842840 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 1640842840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280156480).

1640842840 is an abundant number, since it is smaller than the sum of its proper divisors (2919470120).

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

1640842840 is a wasteful number, since it uses less digits than its factorization.

1640842840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 1640842840 is about 40507.3183511326. The cubic root of 1640842840 is about 1179.4756935286.

The spelling of 1640842840 in words is "one billion, six hundred forty million, eight hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 353 364 455 520 706 728 910 1277 1412 1765 1820 2471 2554 2824 3530 3640 4589 4942 5108 6385 7060 8939 9178 9884 10216 12355 12770 14120 16601 17878 18356 19768 22945 24710 25540 32123 33202 35756 36712 44695 45890 49420 51080 64246 66404 71512 83005 89390 91780 98840 116207 128492 132808 160615 166010 178780 183560 232414 256984 321230 332020 357560 450781 464828 581035 642460 664040 901562 929656 1162070 1284920 1803124 2253905 2324140 3155467 3606248 4507810 4648280 5860153 6310934 9015620 11720306 12621868 15777335 18031240 23440612 25243736 29300765 31554670 41021071 46881224 58601530 63109340 82042142 117203060 126218680 164084284 205105355 234406120 328168568 410210710 820421420 1640842840