Search a number
-
+
32625020 = 22531101521
BaseRepresentation
bin111110001110…
…1000101111100
32021101112010002
41330131011330
531323000040
63123133432
7544210451
oct174350574
967345102
1032625020
111746372a
12ab14278
1369b3a5c
144493828
152ce6a15
hex1f1d17c

32625020 has 48 divisors (see below), whose sum is σ = 71559936. Its totient is φ = 12480000.

The previous prime is 32625013. The next prime is 32625037. The reversal of 32625020 is 2052623.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32624983 and 32625001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62360 + ... + 62880.

It is an arithmetic number, because the mean of its divisors is an integer number (1490832).

Almost surely, 232625020 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 32625020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35779968).

32625020 is an abundant number, since it is smaller than the sum of its proper divisors (38934916).

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

32625020 is a wasteful number, since it uses less digits than its factorization.

32625020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 32625020 is about 5711.8315801501. The cubic root of 32625020 is about 319.5338917142.

Adding to 32625020 its reverse (2052623), we get a palindrome (34677643).

The spelling of 32625020 in words is "thirty-two million, six hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 521 620 1010 1042 2020 2084 2605 3131 5210 6262 10420 12524 15655 16151 31310 32302 52621 62620 64604 80755 105242 161510 210484 263105 323020 526210 1052420 1631251 3262502 6525004 8156255 16312510 32625020