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20375432 = 2371123197
BaseRepresentation
bin100110110111…
…0011110001000
31102100011211122
41031232132020
520204003212
62004414412
7335121410
oct115563610
942304748
1020375432
1110557400
1269a7408
1342b528c
1429c5640
151bc7272
hex136e788

20375432 has 96 divisors (see below), whose sum is σ = 50050560. Its totient is φ = 7603200.

The previous prime is 20375423. The next prime is 20375441. The reversal of 20375432 is 23457302.

It is an interprime number because it is at equal distance from previous prime (20375423) and next prime (20375441).

It is an unprimeable number.

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, 210008 + ... + 210104.

It is an arithmetic number, because the mean of its divisors is an integer number (521360).

Almost surely, 220375432 is an apocalyptic number.

20375432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20375432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25025280).

20375432 is an abundant number, since it is smaller than the sum of its proper divisors (29675128).

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

20375432 is a wasteful number, since it uses less digits than its factorization.

20375432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 20375432 is about 4513.9153735975. The cubic root of 20375432 is about 273.1297088768.

The spelling of 20375432 in words is "twenty million, three hundred seventy-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 97 121 124 154 194 217 242 248 308 341 388 434 484 616 679 682 776 847 868 968 1067 1358 1364 1694 1736 2134 2387 2716 2728 3007 3388 3751 4268 4774 5432 6014 6776 7469 7502 8536 9548 11737 12028 14938 15004 19096 21049 23474 24056 26257 29876 30008 33077 42098 46948 52514 59752 66154 82159 84196 93896 105028 132308 164318 168392 210056 231539 264616 328636 363847 463078 657272 727694 926156 1455388 1852312 2546929 2910776 5093858 10187716 20375432