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2106614840 = 2351121725603
BaseRepresentation
bin111110110010000…
…0110010000111000
312102210222010021212
41331210012100320
513303243133330
6545012022252
7103126634141
oct17544062070
95383863255
102106614840
11991146a00
124a9601988
13277595975
1415daccac8
15c4e22295
hex7d906438

2106614840 has 96 divisors (see below), whose sum is σ = 5516637840. Its totient is φ = 720952320.

The previous prime is 2106614837. The next prime is 2106614893. The reversal of 2106614840 is 484166012.

It is a junction number, because it is equal to n+sod(n) for n = 2106614797 and 2106614806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69479 + ... + 95081.

Almost surely, 22106614840 is an apocalyptic number.

2106614840 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 2106614840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758318920).

2106614840 is an abundant number, since it is smaller than the sum of its proper divisors (3410023000).

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

2106614840 is a wasteful number, since it uses less digits than its factorization.

2106614840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25653 (or 25638 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2106614840 is about 45897.8740248391. The cubic root of 2106614840 is about 1281.9223312832.

The spelling of 2106614840 in words is "two billion, one hundred six million, six hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1496 1870 2057 2420 3740 4114 4840 7480 8228 10285 16456 20570 25603 41140 51206 82280 102412 128015 204824 256030 281633 435251 512060 563266 870502 1024120 1126532 1408165 1741004 2176255 2253064 2816330 3097963 3482008 4352510 4787761 5632660 6195926 8705020 9575522 11265320 12391852 15489815 17410040 19151044 23938805 24783704 30979630 38302088 47877610 52665371 61959260 95755220 105330742 123918520 191510440 210661484 263326855 421322968 526653710 1053307420 2106614840