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4214067 = 3112131947
BaseRepresentation
bin10000000100110100110011
321221002121120
4100010310303
52034322232
6230153323
750550624
oct20046463
97832546
104214067
112419100
1214b2843
13b47140
147b9a4b
1558392c
hex404d33

4214067 has 48 divisors (see below), whose sum is σ = 7150080. Its totient is φ = 2185920.

The previous prime is 4214057. The next prime is 4214069. The reversal of 4214067 is 7604124.

It is not a de Polignac number, because 4214067 - 24 = 4214051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89638 + ... + 89684.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

Almost surely, 24214067 is an apocalyptic number.

4214067 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4214067 is a deficient number, since it is larger than the sum of its proper divisors (2936013).

4214067 is a wasteful number, since it uses less digits than its factorization.

4214067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4214067 is about 2052.8192808915. The cubic root of 4214067 is about 161.5227916598.

The spelling of 4214067 in words is "four million, two hundred fourteen thousand, sixty-seven".

Divisors: 1 3 11 13 19 33 39 47 57 121 141 143 209 247 363 429 517 611 627 741 893 1551 1573 1833 2299 2679 2717 4719 5687 6721 6897 8151 9823 11609 17061 20163 29469 29887 34827 73931 89661 108053 127699 221793 324159 383097 1404689 4214067