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1002730057 = 71723443827
BaseRepresentation
bin111011110001000…
…111001001001001
32120212210222001021
4323301013021021
54023144330212
6243255552441
733564031150
oct7361071111
92525728037
101002730057
11475018a2a
1223b98b721
1312c9849c4
149725c597
155d070307
hex3bc47249

1002730057 has 32 divisors (see below), whose sum is σ = 1270536192. Its totient is φ = 771074304.

The previous prime is 1002730037. The next prime is 1002730067. The reversal of 1002730057 is 7500372001.

1002730057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002730057 - 27 = 1002729929 is a prime.

It is a super-2 number, since 2×10027300572 = 2010935134422446498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002730037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212078 + ... + 1212904.

It is an arithmetic number, because the mean of its divisors is an integer number (39704256).

Almost surely, 21002730057 is an apocalyptic number.

1002730057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1002730057 is a deficient number, since it is larger than the sum of its proper divisors (267806135).

1002730057 is a wasteful number, since it uses less digits than its factorization.

1002730057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 1002730057 is about 31665.9131717372. The cubic root of 1002730057 is about 1000.9091921192.

The spelling of 1002730057 in words is "one billion, two million, seven hundred thirty thousand, fifty-seven".

Divisors: 1 7 17 23 119 161 391 443 827 2737 3101 5789 7531 10189 14059 19021 52717 71323 98413 133147 173213 323357 366361 1212491 2263499 2564527 6228137 8426303 43596959 58984121 143247151 1002730057