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4071424 = 213771
BaseRepresentation
bin1111100010000000000000
321122211221111
433202000000
52020241144
6223133104
746415020
oct17420000
97584844
104071424
112330a15
121444194
13ac7236
1477da80
15556534
hex3e2000

4071424 has 56 divisors (see below), whose sum is σ = 9436608. Its totient is φ = 1720320.

The previous prime is 4071421. The next prime is 4071427. The reversal of 4071424 is 4241704.

It is an interprime number because it is at equal distance from previous prime (4071421) and next prime (4071427).

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 4071395 and 4071404.

It is not an unprimeable number, because it can be changed into a prime (4071421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57309 + ... + 57379.

Almost surely, 24071424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718304).

4071424 is an abundant number, since it is smaller than the sum of its proper divisors (5365184).

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

4071424 is an frugal number, since it uses more digits than its factorization.

4071424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 4071424 is about 2017.7769946156. The cubic root of 4071424 is about 159.6793578581.

The spelling of 4071424 in words is "four million, seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 256 284 448 497 512 568 896 994 1024 1136 1792 1988 2048 2272 3584 3976 4096 4544 7168 7952 8192 9088 14336 15904 18176 28672 31808 36352 57344 63616 72704 127232 145408 254464 290816 508928 581632 1017856 2035712 4071424