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73143000 = 233553743
BaseRepresentation
bin1000101110000…
…01001011011000
312002122001100000
410113001023120
5122211034000
611131413000
71545463620
oct427011330
9162561300
1073143000
1138318467
12205b4160
13121cc2a8
1499dd880
15664c000
hex45c12d8

73143000 has 384 divisors, whose sum is σ = 299819520. Its totient is φ = 16329600.

The previous prime is 73142999. The next prime is 73143001. The reversal of 73143000 is 34137.

It is an interprime number because it is at equal distance from previous prime (73142999) and next prime (73143001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73143001) 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 95 ways as a sum of consecutive naturals, for example, 1700979 + ... + 1701021.

It is an arithmetic number, because the mean of its divisors is an integer number (780780).

Almost surely, 273143000 is an apocalyptic number.

73143000 is a gapful number since it is divisible by the number (70) 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 73143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149909760).

73143000 is an abundant number, since it is smaller than the sum of its proper divisors (226676520).

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

73143000 is a wasteful number, since it uses less digits than its factorization.

73143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73143000 is about 8552.3680931073. The cubic root of 73143000 is about 418.2066391294.

Adding to 73143000 its reverse (34137), we get a palindrome (73177137).

It can be divided in two parts, 7314 and 3000, that multiplied together give a triangular number (21942000 = T6624).

The spelling of 73143000 in words is "seventy-three million, one hundred forty-three thousand".