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4140414 = 2322373137
BaseRepresentation
bin1111110010110101111110
321210100120200
433302311332
52024443124
6224424330
750123115
oct17626576
97710520
104140414
112378833
1214780a6
13b1c765
1479ac7c
1556bbc9
hex3f2d7e

4140414 has 48 divisors (see below), whose sum is σ = 9558432. Its totient is φ = 1292544.

The previous prime is 4140397. The next prime is 4140419.

4140414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30154 + ... + 30290.

It is an arithmetic number, because the mean of its divisors is an integer number (199134).

Almost surely, 24140414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779216).

4140414 is an abundant number, since it is smaller than the sum of its proper divisors (5418018).

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

4140414 is a wasteful number, since it uses less digits than its factorization.

4140414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4140414 is about 2034.8007273441. The cubic root of 4140414 is about 160.5762295473.

It can be divided in two parts, 4140 and 414, that added together give a palindrome (4554).

The spelling of 4140414 in words is "four million, one hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 73 137 138 146 207 219 274 411 414 438 657 822 1233 1314 1679 2466 3151 3358 5037 6302 9453 10001 10074 15111 18906 20002 28359 30003 30222 56718 60006 90009 180018 230023 460046 690069 1380138 2070207 4140414