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2123916 = 223379467
BaseRepresentation
bin1000000110100010001100
310222220110120
420012202030
51020431131
6113304540
724024114
oct10064214
93886416
102123916
111220803
12865150
13594972
143d4044
152be496
hex20688c

2123916 has 24 divisors (see below), whose sum is σ = 4979520. Its totient is φ = 704592.

The previous prime is 2123909. The next prime is 2123917. The reversal of 2123916 is 6193212.

It is a super-2 number, since 2×21239162 = 9022038350112, which contains 22 as substring.

It is a d-powerful number, because it can be written as 29 + 1 + 221 + 39 + 94 + 1 + 6 .

It is not an unprimeable number, because it can be changed into a prime (2123917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4315 + ... + 4781.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

22123916 is an apocalyptic number.

It is an amenable number.

2123916 is an abundant number, since it is smaller than the sum of its proper divisors (2855604).

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

2123916 is a wasteful number, since it uses less digits than its factorization.

2123916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 851 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 2123916 is about 1457.3661173501. The cubic root of 2123916 is about 128.5422148794.

The spelling of 2123916 in words is "two million, one hundred twenty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 379 467 758 934 1137 1401 1516 1868 2274 2802 4548 5604 176993 353986 530979 707972 1061958 2123916