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10230132 = 22311194079
BaseRepresentation
bin100111000001…
…100101110100
3201020202002210
4213001211310
510104331012
61003133420
7152645313
oct47014564
921222083
1010230132
115858060
123514270
132172543
14150427a
15d7123c
hex9c1974

10230132 has 48 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 2936160.

The previous prime is 10230119. The next prime is 10230133. The reversal of 10230132 is 23103201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469 + ... + 4547.

It is an arithmetic number, because the mean of its divisors is an integer number (571200).

Almost surely, 210230132 is an apocalyptic number.

10230132 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 10230132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

10230132 is an abundant number, since it is smaller than the sum of its proper divisors (17187468).

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

10230132 is a wasteful number, since it uses less digits than its factorization.

10230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10230132 is about 3198.4577533555. The cubic root of 10230132 is about 217.0836320309.

Adding to 10230132 its reverse (23103201), we get a palindrome (33333333).

The spelling of 10230132 in words is "ten million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 4079 8158 12237 16316 24474 44869 48948 77501 89738 134607 155002 179476 232503 269214 310004 465006 538428 852511 930012 1705022 2557533 3410044 5115066 10230132