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32130000 = 243354717
BaseRepresentation
bin111101010010…
…0001111010000
32020110101002000
41322210033100
531211130000
63104354000
7540046320
oct172441720
966411060
1032130000
1117155821
12a915900
13686c646
1443a5280
152c4a000
hex1ea43d0

32130000 has 400 divisors, whose sum is σ = 139455360. Its totient is φ = 6912000.

The previous prime is 32129959. The next prime is 32130013. The reversal of 32130000 is 3123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1889992 + ... + 1890008.

Almost surely, 232130000 is an apocalyptic number.

32130000 is a gapful number since it is divisible by the number (30) 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 32130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69727680).

32130000 is an abundant number, since it is smaller than the sum of its proper divisors (107325360).

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

32130000 is a wasteful number, since it uses less digits than its factorization.

32130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 32130000 is about 5668.3330883074. Note that the first 3 decimals coincide. The cubic root of 32130000 is about 317.9095506374.

Adding to 32130000 its reverse (3123), we get a palindrome (32133123).

The spelling of 32130000 in words is "thirty-two million, one hundred thirty thousand".