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10200132 = 22322397127
BaseRepresentation
bin100110111010…
…010001000100
3201012012221200
4212322101010
510102401012
61002342500
7152461665
oct46722104
921165850
1010200132
115837568
1234baa30
1321619a7
1414d736c
15d673dc
hex9ba444

10200132 has 72 divisors (see below), whose sum is σ = 27396096. Its totient is φ = 3193344.

The previous prime is 10200107. The next prime is 10200139. The reversal of 10200132 is 23100201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200139) 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, 80253 + ... + 80379.

Almost surely, 210200132 is an apocalyptic number.

10200132 is a gapful number since it is divisible by the number (12) 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 10200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698048).

10200132 is an abundant number, since it is smaller than the sum of its proper divisors (17195964).

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

10200132 is a wasteful number, since it uses less digits than its factorization.

10200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10200132 is about 3193.7645498690. The cubic root of 10200132 is about 216.8712240399.

Adding to 10200132 its reverse (23100201), we get a palindrome (33300333).

The spelling of 10200132 in words is "ten million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 97 127 138 194 207 254 276 291 381 388 414 508 582 762 828 873 1143 1164 1524 1746 2231 2286 2921 3492 4462 4572 5842 6693 8763 8924 11684 12319 13386 17526 20079 24638 26289 26772 35052 36957 40158 49276 52578 73914 80316 105156 110871 147828 221742 283337 443484 566674 850011 1133348 1700022 2550033 3400044 5100066 10200132