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2123967 = 36710567
BaseRepresentation
bin1000000110100010111111
310222220112110
420012202333
51020431332
6113305103
724024216
oct10064277
93886473
102123967
11122084a
12865193
135949b1
143d407d
152be4cc
hex2068bf

2123967 has 8 divisors (see below), whose sum is σ = 2874496. Its totient is φ = 1394712.

The previous prime is 2123939. The next prime is 2123969. The reversal of 2123967 is 7693212.

2123967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2123967 - 220 = 1075391 is a prime.

It is a super-2 number, since 2×21239672 = 9022471634178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5083 + ... + 5484.

It is an arithmetic number, because the mean of its divisors is an integer number (359312).

22123967 is an apocalyptic number.

2123967 is a deficient number, since it is larger than the sum of its proper divisors (750529).

2123967 is a wasteful number, since it uses less digits than its factorization.

2123967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637.

The product of its digits is 4536, while the sum is 30.

The square root of 2123967 is about 1457.3836145641. The cubic root of 2123967 is about 128.5432437337.

The spelling of 2123967 in words is "two million, one hundred twenty-three thousand, nine hundred sixty-seven".

Divisors: 1 3 67 201 10567 31701 707989 2123967