Search a number
-
+
32141106 = 2322967919
BaseRepresentation
bin111101010011…
…0111100110010
32020110221022100
41322212330302
531212003411
63104521230
7540123564
oct172467462
966427270
1032141106
11171630a8
12a920216
13687470a
1443a9334
152c4d456
hex1ea6f32

32141106 has 48 divisors (see below), whose sum is σ = 73195200. Its totient is φ = 10178784.

The previous prime is 32141099. The next prime is 32141113. The reversal of 32141106 is 60114123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32141099) and next prime (32141113).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34515 + ... + 35433.

It is an arithmetic number, because the mean of its divisors is an integer number (1524900).

Almost surely, 232141106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32141106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36597600).

32141106 is an abundant number, since it is smaller than the sum of its proper divisors (41054094).

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

32141106 is a wasteful number, since it uses less digits than its factorization.

32141106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 32141106 is about 5669.3126567513. The cubic root of 32141106 is about 317.9461757722.

Adding to 32141106 its reverse (60114123), we get a palindrome (92255229).

The spelling of 32141106 in words is "thirty-two million, one hundred forty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 29 58 67 87 134 174 201 261 402 522 603 919 1206 1838 1943 2757 3886 5514 5829 8271 11658 16542 17487 26651 34974 53302 61573 79953 123146 159906 184719 239859 369438 479718 554157 1108314 1785617 3571234 5356851 10713702 16070553 32141106