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4113032 = 237112607
BaseRepresentation
bin1111101100001010001000
321201222000112
433230022020
52023104112
6224053452
746650230
oct17541210
97658015
104113032
11235a200
121464288
13b10161
14790cc0
15563a22
hex3ec288

4113032 has 48 divisors (see below), whose sum is σ = 9703680. Its totient is φ = 1599840.

The previous prime is 4113029. The next prime is 4113059. The reversal of 4113032 is 2303114.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4112998 and 4113016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6473 + ... + 7079.

It is an arithmetic number, because the mean of its divisors is an integer number (202160).

Almost surely, 24113032 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 4113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851840).

4113032 is an abundant number, since it is smaller than the sum of its proper divisors (5590648).

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

4113032 is a wasteful number, since it uses less digits than its factorization.

4113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 4113032 is about 2028.0611430625. The cubic root of 4113032 is about 160.2214641521.

Adding to 4113032 its reverse (2303114), we get a palindrome (6416146).

It can be divided in two parts, 411 and 3032, that added together give a palindrome (3443).

The spelling of 4113032 in words is "four million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 607 616 847 968 1214 1694 2428 3388 4249 4856 6677 6776 8498 13354 16996 26708 33992 46739 53416 73447 93478 146894 186956 293788 373912 514129 587576 1028258 2056516 4113032