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4130924 = 227434773
BaseRepresentation
bin1111110000100001101100
321202212120012
433300201230
52024142144
6224312352
750053340
oct17604154
97685505
104130924
112371696
1214726b8
13b18345
14797620
15568e9e
hex3f086c

4130924 has 48 divisors (see below), whose sum is σ = 8752128. Its totient is φ = 1669248.

The previous prime is 4130911. The next prime is 4130927. The reversal of 4130924 is 4290314.

4130924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4130924.

It is not an unprimeable number, because it can be changed into a prime (4130927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56552 + ... + 56624.

It is an arithmetic number, because the mean of its divisors is an integer number (182336).

Almost surely, 24130924 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 4130924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376064).

4130924 is an abundant number, since it is smaller than the sum of its proper divisors (4621204).

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

4130924 is a wasteful number, since it uses less digits than its factorization.

4130924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4130924 is about 2032.4674659143. The cubic root of 4130924 is about 160.4534532452.

The spelling of 4130924 in words is "four million, one hundred thirty thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 43 47 73 86 94 146 172 188 292 301 329 511 602 658 1022 1204 1316 2021 2044 3139 3431 4042 6278 6862 8084 12556 13724 14147 21973 24017 28294 43946 48034 56588 87892 96068 147533 295066 590132 1032731 2065462 4130924