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1131484896 = 25331309589
BaseRepresentation
bin100001101110001…
…0001011011100000
32220212002101111000
41003130101123200
54304130004041
6304135352000
740016314533
oct10334213340
92825071430
101131484896
1153076a393
12276b22600
131505557b9
14aa3b6a1a
1569504bb6
hex437116e0

1131484896 has 48 divisors (see below), whose sum is σ = 3300166800. Its totient is φ = 377161344.

The previous prime is 1131484819. The next prime is 1131484927. The reversal of 1131484896 is 6984841311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11314848962 = 2560516139752261632, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 653931 + ... + 655658.

It is an arithmetic number, because the mean of its divisors is an integer number (68753475).

Almost surely, 21131484896 is an apocalyptic number.

1131484896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1131484896 is an abundant number, since it is smaller than the sum of its proper divisors (2168681904).

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

1131484896 is a wasteful number, since it uses less digits than its factorization.

1131484896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309608 (or 1309594 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1131484896 is about 33637.5518728697. The cubic root of 1131484896 is about 1042.0364731935.

The spelling of 1131484896 in words is "one billion, one hundred thirty-one million, four hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1309589 2619178 3928767 5238356 7857534 10476712 11786301 15715068 20953424 23572602 31430136 35358903 41906848 47145204 62860272 70717806 94290408 125720544 141435612 188580816 282871224 377161632 565742448 1131484896