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18932130 = 23657253
BaseRepresentation
bin100100000111…
…0000110100010
31022121212000000
41020032012202
514321312010
61513440430
7316630500
oct110160642
938555000
1018932130
11a760a98
126410116
133bcb359
14272b670
1519de7c0
hex120e1a2

18932130 has 168 divisors, whose sum is σ = 60556572. Its totient is φ = 4245696.

The previous prime is 18932107. The next prime is 18932131. The reversal of 18932130 is 3123981.

It can be written as a sum of positive squares in 2 ways, for example, as 18896409 + 35721 = 4347^2 + 189^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18932094 and 18932103.

It is not an unprimeable number, because it can be changed into a prime (18932131) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 357184 + ... + 357236.

Almost surely, 218932130 is an apocalyptic number.

18932130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18932130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30278286).

18932130 is an abundant number, since it is smaller than the sum of its proper divisors (41624442).

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

18932130 is an equidigital number, since it uses as much as digits as its factorization.

18932130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 18932130 is about 4351.1067557577. The cubic root of 18932130 is about 266.5220587490.

The spelling of 18932130 in words is "eighteen million, nine hundred thirty-two thousand, one hundred thirty".