Search a number
-
+
32305196 = 22711531979
BaseRepresentation
bin111101100111…
…1000000101100
32020210021101202
41323033000230
531232231241
63112225032
7541406150
oct173170054
966707352
1032305196
1117265410
12a99b178
136901301
14440d060
152c81d9b
hex1ecf02c

32305196 has 48 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 12342720.

The previous prime is 32305183. The next prime is 32305199. The reversal of 32305196 is 69150323.

It is not an unprimeable number, because it can be changed into a prime (32305199) 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 15 ways as a sum of consecutive naturals, for example, 15335 + ... + 17313.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 232305196 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 32305196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925120).

32305196 is an abundant number, since it is smaller than the sum of its proper divisors (39545044).

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

32305196 is a wasteful number, since it uses less digits than its factorization.

32305196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 32305196 is about 5683.7660050357. The cubic root of 32305196 is about 318.4863278414.

The spelling of 32305196 in words is "thirty-two million, three hundred five thousand, one hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 154 212 308 371 583 742 1166 1484 1979 2332 3958 4081 7916 8162 13853 16324 21769 27706 43538 55412 87076 104887 152383 209774 304766 419548 609532 734209 1153757 1468418 2307514 2936836 4615028 8076299 16152598 32305196