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930189001 = 7243572
BaseRepresentation
bin110111011100011…
…000111011001001
32101211022111102111
4313130120323021
53401112022001
6232145102321
732023322200
oct6734307311
92354274374
10930189001
11438081845
1221b6279a1
1311a9366c1
148b778237
15569e1851
hex37718ec9

930189001 has 9 divisors (see below), whose sum is σ = 1082304999. Its totient is φ = 797121864.

The previous prime is 930188957. The next prime is 930189011. The reversal of 930189001 is 100981039.

The square root of 930189001 is 30499.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 929335225 + 853776 = 30485^2 + 924^2 .

It is not a de Polignac number, because 930189001 - 221 = 928091849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (930189011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 211315 + ... + 215671.

It is an arithmetic number, because the mean of its divisors is an integer number (120256111).

Almost surely, 2930189001 is an apocalyptic number.

930189001 is the 30499-th square number.

930189001 is the 15250-th centered octagonal number.

It is an amenable number.

930189001 is a deficient number, since it is larger than the sum of its proper divisors (152115998).

930189001 is an frugal number, since it uses more digits than its factorization.

930189001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The cubic root of 930189001 is about 976.1661264433.

The spelling of 930189001 in words is "nine hundred thirty million, one hundred eighty-nine thousand, one".

Divisors: 1 7 49 4357 30499 213493 18983449 132884143 930189001