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32105148 = 22323891307
BaseRepresentation
bin111101001111…
…0001010111100
32020102002222120
41322132022330
531204331043
63104042540
7536614005
oct172361274
966362876
1032105148
1117139089
12a903450
13686123a
14439a1ac
152c42983
hex1e9e2bc

32105148 has 48 divisors (see below), whose sum is σ = 79107840. Its totient is φ = 10113664.

The previous prime is 32105141. The next prime is 32105149. The reversal of 32105148 is 84150123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32105141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23911 + ... + 25217.

It is an arithmetic number, because the mean of its divisors is an integer number (1648080).

Almost surely, 232105148 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 32105148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39553920).

32105148 is an abundant number, since it is smaller than the sum of its proper divisors (47002692).

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

32105148 is a wasteful number, since it uses less digits than its factorization.

32105148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 32105148 is about 5666.1404853745. The cubic root of 32105148 is about 317.8275636466.

The spelling of 32105148 in words is "thirty-two million, one hundred five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 89 92 138 178 267 276 356 534 1068 1307 2047 2614 3921 4094 5228 6141 7842 8188 12282 15684 24564 30061 60122 90183 116323 120244 180366 232646 348969 360732 465292 697938 1395876 2675429 5350858 8026287 10701716 16052574 32105148