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21172032 = 263275989
BaseRepresentation
bin101000011000…
…0111101000000
31110211122120100
41100300331000
520410001112
62033442400
7344650020
oct120607500
943748510
1021172032
1110a50952
127110400
134503a3b
142b51a80
151cd32dc
hex1430f40

21172032 has 168 divisors, whose sum is σ = 71323200. Its totient is φ = 5879808.

The previous prime is 21172009. The next prime is 21172037. The reversal of 21172032 is 23027112.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 21171996 and 21172014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21172037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237844 + ... + 237932.

Almost surely, 221172032 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 21172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661600).

21172032 is an abundant number, since it is smaller than the sum of its proper divisors (50151168).

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

21172032 is a wasteful number, since it uses less digits than its factorization.

21172032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 21172032 is about 4601.3076402258. The cubic root of 21172032 is about 276.6437399753.

Adding to 21172032 its reverse (23027112), we get a palindrome (44199144).

The spelling of 21172032 in words is "twenty-one million, one hundred seventy-two thousand, thirty-two".