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2106454460 = 22511471371487
BaseRepresentation
bin111110110001101…
…1111000110111100
312102210122222021212
41331203133012330
513303223020320
6545004343552
7103125365435
oct17543370674
95383588255
102106454460
11991047460
124a9544bb8
1327753a976
1415da8a48c
15c4dde9c5
hex7d8df1bc

2106454460 has 96 divisors (see below), whose sum is σ = 4967682048. Its totient is φ = 743713280.

The previous prime is 2106454457. The next prime is 2106454487. The reversal of 2106454460 is 644546012.

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, 1415837 + ... + 1417323.

It is an arithmetic number, because the mean of its divisors is an integer number (51746688).

Almost surely, 22106454460 is an apocalyptic number.

2106454460 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 2106454460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483841024).

2106454460 is an abundant number, since it is smaller than the sum of its proper divisors (2861227588).

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

2106454460 is a wasteful number, since it uses less digits than its factorization.

2106454460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2106454460 is about 45896.1268518379. The cubic root of 2106454460 is about 1281.8897988498.

The spelling of 2106454460 in words is "two billion, one hundred six million, four hundred fifty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 137 188 220 235 274 470 517 548 685 940 1034 1370 1487 1507 2068 2585 2740 2974 3014 5170 5948 6028 6439 7435 7535 10340 12878 14870 15070 16357 25756 29740 30140 32195 32714 64390 65428 69889 70829 81785 128780 139778 141658 163570 203719 279556 283316 327140 349445 354145 407438 698890 708290 768779 814876 1018595 1397780 1416580 1537558 2037190 2240909 3075116 3843895 4074380 4481818 7687790 8963636 9574793 11204545 15375580 19149586 22409090 38299172 44818180 47873965 95747930 105322723 191495860 210645446 421290892 526613615 1053227230 2106454460