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2105421240 = 23351312710627
BaseRepresentation
bin111110101111110…
…0010110110111000
312102201201110222110
41331133202312320
513302441434430
6544530252320
7103113533226
oct17537426670
95381643873
102105421240
1199050115a
124a91270a0
132772685b0
1415d89bb16
15c4c887b0
hex7d7e2db8

2105421240 has 128 divisors (see below), whose sum is σ = 6856335360. Its totient is φ = 514128384.

The previous prime is 2105421239. The next prime is 2105421247. The reversal of 2105421240 is 421245012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105421247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192807 + ... + 203433.

It is an arithmetic number, because the mean of its divisors is an integer number (53565120).

Almost surely, 22105421240 is an apocalyptic number.

2105421240 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 2105421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428167680).

2105421240 is an abundant number, since it is smaller than the sum of its proper divisors (4750914120).

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

2105421240 is a wasteful number, since it uses less digits than its factorization.

2105421240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10781 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2105421240 is about 45884.8694015794. The cubic root of 2105421240 is about 1281.6801747611.

Adding to 2105421240 its reverse (421245012), we get a palindrome (2526666252).

The spelling of 2105421240 in words is "two billion, one hundred five million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 127 130 156 195 254 260 312 381 390 508 520 635 762 780 1016 1270 1524 1560 1651 1905 2540 3048 3302 3810 4953 5080 6604 7620 8255 9906 10627 13208 15240 16510 19812 21254 24765 31881 33020 39624 42508 49530 53135 63762 66040 85016 99060 106270 127524 138151 159405 198120 212540 255048 276302 318810 414453 425080 552604 637620 690755 828906 1105208 1275240 1349629 1381510 1657812 2072265 2699258 2763020 3315624 4048887 4144530 5398516 5526040 6748145 8097774 8289060 10797032 13496290 16195548 16578120 17545177 20244435 26992580 32391096 35090354 40488870 52635531 53985160 70180708 80977740 87725885 105271062 140361416 161955480 175451770 210542124 263177655 350903540 421084248 526355310 701807080 1052710620 2105421240