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18776142 = 232711192331
BaseRepresentation
bin100011110100…
…0000001001110
31022022221000200
41013220001032
514301314032
61510234330
7315410640
oct107500116
938287020
1018776142
11a664880
1263559a6
133b75358
1426ca890
1519ad47c
hex11e804e

18776142 has 192 divisors, whose sum is σ = 57507840. Its totient is φ = 4276800.

The previous prime is 18776141. The next prime is 18776183. The reversal of 18776142 is 24167781.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (18816) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 18776097 and 18776106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18776141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 605667 + ... + 605697.

It is an arithmetic number, because the mean of its divisors is an integer number (299520).

Almost surely, 218776142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18776142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753920).

18776142 is an abundant number, since it is smaller than the sum of its proper divisors (38731698).

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

18776142 is a wasteful number, since it uses less digits than its factorization.

18776142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 18776142 is about 4333.1445856329. The cubic root of 18776142 is about 265.7880517163.

The spelling of 18776142 in words is "eighteen million, seven hundred seventy-six thousand, one hundred forty-two".