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1132268032 = 297431733
BaseRepresentation
bin100001101111101…
…0000101000000000
32220220120011202001
41003133100220000
54304330034112
6304204233344
740026055660
oct10337205000
92826504661
101132268032
11531154805
1227723b854
1315076b0ac
14aa53c1a0
156960bc57
hex437d0a00

1132268032 has 80 divisors (see below), whose sum is σ = 2595048192. Its totient is φ = 483471360.

The previous prime is 1132268003. The next prime is 1132268069. The reversal of 1132268032 is 2308622311.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 1544338 + ... + 1545070.

Almost surely, 21132268032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297524096).

1132268032 is an abundant number, since it is smaller than the sum of its proper divisors (1462780160).

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

1132268032 is an frugal number, since it uses more digits than its factorization.

1132268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1132268032 is about 33649.1906589148. The cubic root of 1132268032 is about 1042.2768264020.

The spelling of 1132268032 in words is "one billion, one hundred thirty-two million, two hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 431 448 512 733 862 896 1466 1724 1792 2932 3017 3448 3584 5131 5864 6034 6896 10262 11728 12068 13792 20524 23456 24136 27584 41048 46912 48272 55168 82096 93824 96544 110336 164192 187648 193088 220672 315923 328384 375296 386176 631846 656768 772352 1263692 1313536 1544704 2211461 2527384 2627072 4422922 5054768 8845844 10109536 17691688 20219072 35383376 40438144 70766752 80876288 141533504 161752576 283067008 566134016 1132268032