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147001032 = 23322041681
BaseRepresentation
bin10001100001100…
…00111011001000
3101020121102111200
420300300323020
5300113013112
622330424200
73433326303
oct1060607310
9336542450
10147001032
1175a84062
1241292060
13245bbb79
1415747b3a
15cd8acdc
hex8c30ec8

147001032 has 24 divisors (see below), whose sum is σ = 398127990. Its totient is φ = 49000320.

The previous prime is 147000983. The next prime is 147001069. The reversal of 147001032 is 230100741.

It can be written as a sum of positive squares in only one way, i.e., 89756676 + 57244356 = 9474^2 + 7566^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 147000996 and 147001014.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1020769 + ... + 1020912.

Almost surely, 2147001032 is an apocalyptic number.

147001032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147001032 is an abundant number, since it is smaller than the sum of its proper divisors (251126958).

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

147001032 is a wasteful number, since it uses less digits than its factorization.

147001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041693 (or 2041686 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 147001032 is about 12124.3982118701. The cubic root of 147001032 is about 527.7644438252.

Adding to 147001032 its reverse (230100741), we get a palindrome (377101773).

The spelling of 147001032 in words is "one hundred forty-seven million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2041681 4083362 6125043 8166724 12250086 16333448 18375129 24500172 36750258 49000344 73500516 147001032