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2108960 = 25572269
BaseRepresentation
bin1000000010111000100000
310222010221122
420002320200
51014441320
6113111412
723632400
oct10027040
93863848
102108960
111210547
12858568
1358ac09
143cc800
152b9d25
hex202e20

2108960 has 72 divisors (see below), whose sum is σ = 5817420. Its totient is φ = 720384.

The previous prime is 2108957. The next prime is 2108983. The reversal of 2108960 is 698012.

It can be written as a sum of positive squares in 2 ways, for example, as 1882384 + 226576 = 1372^2 + 476^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7706 + ... + 7974.

22108960 is an apocalyptic number.

2108960 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 2108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908710).

2108960 is an abundant number, since it is smaller than the sum of its proper divisors (3708460).

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

2108960 is a wasteful number, since it uses less digits than its factorization.

2108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 2108960 is about 1452.2258777477. The cubic root of 2108960 is about 128.2397849008.

The spelling of 2108960 in words is "two million, one hundred eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 269 280 392 490 538 560 784 980 1076 1120 1345 1568 1883 1960 2152 2690 3766 3920 4304 5380 7532 7840 8608 9415 10760 13181 15064 18830 21520 26362 30128 37660 43040 52724 60256 65905 75320 105448 131810 150640 210896 263620 301280 421792 527240 1054480 2108960