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5432100 = 2235219953
BaseRepresentation
bin10100101110001100100100
3101012222102220
4110232030210
52342311400
6312232340
764113012
oct24561444
911188386
105432100
113080243
12199b6b0
13118267b
14a158b2
157247a0
hex52e324

5432100 has 72 divisors (see below), whose sum is σ = 16561440. Its totient is φ = 1370880.

The previous prime is 5432087. The next prime is 5432107. The reversal of 5432100 is 12345.

5432100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 5432100.

It is not an unprimeable number, because it can be changed into a prime (5432107) 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, 5224 + ... + 6176.

It is an arithmetic number, because the mean of its divisors is an integer number (230020).

Almost surely, 25432100 is an apocalyptic number.

5432100 is a gapful number since it is divisible by the number (50) 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 5432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280720).

5432100 is an abundant number, since it is smaller than the sum of its proper divisors (11129340).

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

5432100 is a wasteful number, since it uses less digits than its factorization.

5432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5432100 is about 2330.6865941177. The cubic root of 5432100 is about 175.7880109498.

Adding to 5432100 its reverse (12345), we get a palindrome (5444445).

The spelling of 5432100 in words is "five million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 953 1140 1425 1900 1906 2850 2859 3812 4765 5700 5718 9530 11436 14295 18107 19060 23825 28590 36214 47650 54321 57180 71475 72428 90535 95300 108642 142950 181070 217284 271605 285900 362140 452675 543210 905350 1086420 1358025 1810700 2716050 5432100