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2114596 = 2211217257
BaseRepresentation
bin1000000100010000100100
310222102200101
420010100210
51020131341
6113153444
723655001
oct10042044
93872611
102114596
111214800
1285b884
13590653
143d08a8
152bb831
hex204424

2114596 has 36 divisors (see below), whose sum is σ = 4323564. Its totient is φ = 901120.

The previous prime is 2114549. The next prime is 2114621. The reversal of 2114596 is 6954112.

2114596 is a nontrivial binomial coefficient, being equal to C(2057, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 193600 = 1386^2 + 440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8100 + ... + 8356.

It is an arithmetic number, because the mean of its divisors is an integer number (120099).

22114596 is an apocalyptic number.

2114596 is the 2056-th triangular number.

2114596 is the 686-th centered nonagonal number.

It is an amenable number.

2114596 is an abundant number, since it is smaller than the sum of its proper divisors (2208968).

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

2114596 is a wasteful number, since it uses less digits than its factorization.

2114596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 2114596 is about 1454.1650525301. The cubic root of 2114596 is about 128.3539196000.

The spelling of 2114596 in words is "two million, one hundred fourteen thousand, five hundred ninety-six".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 257 374 484 514 748 1028 2057 2827 4114 4369 5654 8228 8738 11308 17476 31097 48059 62194 96118 124388 192236 528649 1057298 2114596