Search a number
-
+
3903132 = 2231719253
BaseRepresentation
bin1110111000111010011100
321100022002110
432320322130
51444400012
6215354020
745114252
oct16707234
97308073
103903132
112226532
121382910
13a6875c
147385d2
1552173c
hex3b8e9c

3903132 has 72 divisors (see below), whose sum is σ = 10369296. Its totient is φ = 1138176.

The previous prime is 3903131. The next prime is 3903143. The reversal of 3903132 is 2313093.

It is a junction number, because it is equal to n+sod(n) for n = 3903099 and 3903108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3903131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73618 + ... + 73670.

It is an arithmetic number, because the mean of its divisors is an integer number (144018).

Almost surely, 23903132 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 3903132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184648).

3903132 is an abundant number, since it is smaller than the sum of its proper divisors (6466164).

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

3903132 is a wasteful number, since it uses less digits than its factorization.

3903132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 3903132 is about 1975.6345815965. The cubic root of 3903132 is about 157.4482167885.

The spelling of 3903132 in words is "three million, nine hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 53 57 68 76 102 106 114 159 204 212 228 318 323 361 636 646 722 901 969 1007 1083 1292 1444 1802 1938 2014 2166 2703 3021 3604 3876 4028 4332 5406 6042 6137 10812 12084 12274 17119 18411 19133 24548 34238 36822 38266 51357 57399 68476 73644 76532 102714 114798 205428 229596 325261 650522 975783 1301044 1951566 3903132