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147026961 = 3323323371
BaseRepresentation
bin10001100001101…
…11010000010001
3101020122202002000
420300313100101
5300114330321
622331144213
73433465014
oct1060672021
9336582060
10147026961
1175aa1594
12412a5069
13245ca903
141575337b
15cd93826
hex8c37411

147026961 has 16 divisors (see below), whose sum is σ = 218761920. Its totient is φ = 97593120.

The previous prime is 147026953. The next prime is 147026969. The reversal of 147026961 is 169620741.

It is an interprime number because it is at equal distance from previous prime (147026953) and next prime (147026969).

It is not a de Polignac number, because 147026961 - 23 = 147026953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (147026969) 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 15 ways as a sum of consecutive naturals, for example, 5395 + ... + 17976.

It is an arithmetic number, because the mean of its divisors is an integer number (13672620).

Almost surely, 2147026961 is an apocalyptic number.

It is an amenable number.

147026961 is a deficient number, since it is larger than the sum of its proper divisors (71734959).

147026961 is a wasteful number, since it uses less digits than its factorization.

147026961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23613 (or 23607 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 147026961 is about 12125.4674549066. The cubic root of 147026961 is about 527.7954721783.

The spelling of 147026961 in words is "one hundred forty-seven million, twenty-six thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 233 699 2097 6291 23371 70113 210339 631017 5445443 16336329 49008987 147026961