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1072641027 = 31788323819
BaseRepresentation
bin111111111011110…
…011010000000011
32202202100210212110
4333323303100003
54144044003102
6254234230403
735403204213
oct7773632003
92682323773
101072641027
11500529097
1225b285403
131412c1b43
14a265a243
156427e86c
hex3fef3403

1072641027 has 16 divisors (see below), whose sum is σ = 1516095360. Its totient is φ = 672239232.

The previous prime is 1072640999. The next prime is 1072641043. The reversal of 1072641027 is 7201462701.

It is not a de Polignac number, because 1072641027 - 212 = 1072636931 is a prime.

It is a super-2 number, since 2×10726410272 = 2301117545607229458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1072640985 and 1072641003.

It is not an unprimeable number, because it can be changed into a prime (1072641127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33124 + ... + 56942.

It is an arithmetic number, because the mean of its divisors is an integer number (94755960).

Almost surely, 21072641027 is an apocalyptic number.

1072641027 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1072641027 is a deficient number, since it is larger than the sum of its proper divisors (443454333).

1072641027 is a wasteful number, since it uses less digits than its factorization.

1072641027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24722.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 1072641027 is about 32751.1988635531. The cubic root of 1072641027 is about 1023.6499464059.

The spelling of 1072641027 in words is "one billion, seventy-two million, six hundred forty-one thousand, twenty-seven".

Divisors: 1 3 17 51 883 2649 15011 23819 45033 71457 404923 1214769 21032177 63096531 357547009 1072641027