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1134807552 = 2932383643
BaseRepresentation
bin100001110100011…
…1100101000000000
32221002100012022100
41003220330220000
54311002320202
6304334510400
740056463554
oct10350745000
92832305270
101134807552
1153262978a
12278065400
13151149c78
14aa9dd864
156995e41c
hex43a3ca00

1134807552 has 120 divisors (see below), whose sum is σ = 3288789504. Its totient is φ = 376694784.

The previous prime is 1134807533. The next prime is 1134807563. The reversal of 1134807552 is 2557084311.

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

It is a congruent number.

It is an unprimeable number.

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, 1764543 + ... + 1765185.

Almost surely, 21134807552 is an apocalyptic number.

1134807552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134807552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644394752).

1134807552 is an abundant number, since it is smaller than the sum of its proper divisors (2153981952).

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

1134807552 is an equidigital number, since it uses as much as digits as its factorization.

1134807552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1134807552 is about 33686.9047554090. The cubic root of 1134807552 is about 1043.0554719670.

The spelling of 1134807552 in words is "one billion, one hundred thirty-four million, eight hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 383 384 512 576 643 766 768 1149 1152 1286 1532 1536 1929 2298 2304 2572 3064 3447 3858 4596 4608 5144 5787 6128 6894 7716 9192 10288 11574 12256 13788 15432 18384 20576 23148 24512 27576 30864 36768 41152 46296 49024 55152 61728 73536 82304 92592 98048 110304 123456 147072 164608 185184 196096 220608 246269 246912 294144 329216 370368 441216 492538 493824 588288 738807 740736 882432 985076 987648 1477614 1481472 1764864 1970152 2216421 2955228 2962944 3940304 4432842 5910456 7880608 8865684 11820912 15761216 17731368 23641824 31522432 35462736 47283648 63044864 70925472 94567296 126089728 141850944 189134592 283701888 378269184 567403776 1134807552