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141830208 = 26321323147
BaseRepresentation
bin10000111010000…
…10100001000000
3100212212201110200
420131002201000
5242302031313
622023525200
73341352102
oct1035024100
9325781420
10141830208
1173072153
123b5b9800
13234cb400
1414b9d572
15c6b8b73
hex8742840

141830208 has 252 divisors, whose sum is σ = 464076288. Its totient is φ = 41333760.

The previous prime is 141830207. The next prime is 141830219. The reversal of 141830208 is 802038141.

141830208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141830203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3017641 + ... + 3017687.

Almost surely, 2141830208 is an apocalyptic number.

141830208 is a gapful number since it is divisible by the number (18) 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 141830208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232038144).

141830208 is an abundant number, since it is smaller than the sum of its proper divisors (322246080).

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

141830208 is a wasteful number, since it uses less digits than its factorization.

141830208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 141830208 is about 11909.2488428112. The cubic root of 141830208 is about 521.5023221563.

Adding to 141830208 its reverse (802038141), we get a palindrome (943868349).

It can be divided in two parts, 1418 and 30208, that added together give a triangular number (31626 = T251).

The spelling of 141830208 in words is "one hundred forty-one million, eight hundred thirty thousand, two hundred eight".