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2129814 = 23413147
BaseRepresentation
bin1000000111111110010110
311000012120000
420013332112
51021123224
6113352130
724050241
oct10077626
94005500
102129814
111225185
12868646
1359755b
143d6258
152c10c9
hex207f96

2129814 has 20 divisors (see below), whose sum is σ = 4772724. Its totient is φ = 709884.

The previous prime is 2129807. The next prime is 2129819. The reversal of 2129814 is 4189212.

It is a super-2 number, since 2×21298142 = 9072215349192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129819) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6412 + ... + 6735.

22129814 is an apocalyptic number.

2129814 is an abundant number, since it is smaller than the sum of its proper divisors (2642910).

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

2129814 is a wasteful number, since it uses less digits than its factorization.

2129814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13161 (or 13152 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2129814 is about 1459.3882279914. The cubic root of 2129814 is about 128.6610898397.

It can be divided in two parts, 21298 and 14, that added together give a palindrome (21312).

The spelling of 2129814 in words is "two million, one hundred twenty-nine thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 13147 26294 39441 78882 118323 236646 354969 709938 1064907 2129814