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4130672 = 247132837
BaseRepresentation
bin1111110000011101110000
321202212012212
433300131300
52024140142
6224311252
750052530
oct17603560
97685185
104130672
112371487
121472528
13b181b0
147974c0
15568d82
hex3f0770

4130672 has 40 divisors (see below), whose sum is σ = 9853536. Its totient is φ = 1633536.

The previous prime is 4130671. The next prime is 4130681. The reversal of 4130672 is 2760314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38 + ... + 2874.

Almost surely, 24130672 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 4130672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926768).

4130672 is an abundant number, since it is smaller than the sum of its proper divisors (5722864).

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

4130672 is a wasteful number, since it uses less digits than its factorization.

4130672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 4130672 is about 2032.4054713565. The cubic root of 4130672 is about 160.4501904488.

Adding to 4130672 its reverse (2760314), we get a palindrome (6890986).

The spelling of 4130672 in words is "four million, one hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2837 5674 11348 19859 22696 36881 39718 45392 73762 79436 147524 158872 258167 295048 317744 516334 590096 1032668 2065336 4130672