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1127813904 = 243271118863
BaseRepresentation
bin100001100111001…
…0001001100010000
32220121011212211100
41003032101030100
54302210021104
6303524544400
736643155120
oct10316211420
92817155740
101127813904
11529692308
12275852100
1314c86b909
14a9adcc80
156902c139
hex43391310

1127813904 has 60 divisors (see below), whose sum is σ = 3607217536. Its totient is φ = 322232256.

The previous prime is 1127813903. The next prime is 1127813941. The reversal of 1127813904 is 4093187211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1127813903) 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 11 ways as a sum of consecutive naturals, for example, 558424 + ... + 560439.

Almost surely, 21127813904 is an apocalyptic number.

1127813904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1127813904 is an abundant number, since it is smaller than the sum of its proper divisors (2479403632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1127813904 is a wasteful number, since it uses less digits than its factorization.

1127813904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118884 (or 1118875 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1127813904 is about 33582.9406693339. The cubic root of 1127813904 is about 1040.9083238067.

The spelling of 1127813904 in words is "one billion, one hundred twenty-seven million, eight hundred thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1118863 2237726 3356589 4475452 6713178 7832041 8950904 10069767 13426356 15664082 17901808 20139534 23496123 26852712 31328164 40279068 46992246 53705424 62656328 70488369 80558136 93984492 125312656 140976738 161116272 187968984 281953476 375937968 563906952 1127813904