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1127244007 = 172329891117
BaseRepresentation
bin100001100110000…
…0110000011100111
32220120002221002001
41003030012003213
54302033302012
6303504430131
736635262451
oct10314060347
92816087061
101127244007
1152933311a
12275618347
1314c6cc3b6
14a99d12d1
1568e68357
hex433060e7

1127244007 has 32 divisors (see below), whose sum is σ = 1304035200. Its totient is φ = 967938048.

The previous prime is 1127243987. The next prime is 1127244017. The reversal of 1127244007 is 7004427211.

It is a cyclic number.

It is not a de Polignac number, because 1127244007 - 211 = 1127241959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127244017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008613 + ... + 1009729.

It is an arithmetic number, because the mean of its divisors is an integer number (40751100).

Almost surely, 21127244007 is an apocalyptic number.

1127244007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1127244007 is a deficient number, since it is larger than the sum of its proper divisors (176791193).

1127244007 is a wasteful number, since it uses less digits than its factorization.

1127244007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275.

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 1127244007 is about 33574.4546791158. The cubic root of 1127244007 is about 1040.7329667211.

It can be divided in two parts, 1127 and 244007, that multiplied together give a square (274995889 = 165832).

The spelling of 1127244007 in words is "one billion, one hundred twenty-seven million, two hundred forty-four thousand, seven".

Divisors: 1 17 23 29 89 391 493 667 1117 1513 2047 2581 11339 18989 25691 32393 34799 43877 59363 99413 436747 550681 745039 1009171 1690021 2286499 2882977 12665663 38870483 49010609 66308471 1127244007