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2684920 = 235743223
BaseRepresentation
bin1010001111011111111000
312001102000111
422033133320
51141404140
6133314104
731551520
oct12173770
95042014
102684920
111574247
12a95934
13730114
144dc680
153807ea
hex28f7f8

2684920 has 64 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 895104.

The previous prime is 2684917. The next prime is 2684923. The reversal of 2684920 is 294862.

It is an interprime number because it is at equal distance from previous prime (2684917) and next prime (2684923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11929 + ... + 12151.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

22684920 is an apocalyptic number.

2684920 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 2684920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2684920 is an abundant number, since it is smaller than the sum of its proper divisors (4411400).

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

2684920 is a wasteful number, since it uses less digits than its factorization.

2684920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2684920 is about 1638.5725495076. The cubic root of 2684920 is about 138.9879395364.

The spelling of 2684920 in words is "two million, six hundred eighty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 223 280 301 344 430 446 602 860 892 1115 1204 1505 1561 1720 1784 2230 2408 3010 3122 4460 6020 6244 7805 8920 9589 12040 12488 15610 19178 31220 38356 47945 62440 67123 76712 95890 134246 191780 268492 335615 383560 536984 671230 1342460 2684920