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1269012132 = 2232233151289
BaseRepresentation
bin100101110100011…
…1001011010100100
310021102212111101100
41023220321122210
510044331342012
6325531200100
743306265553
oct11350713244
93242774340
101269012132
115a1362663
122b4ba6030
13172ba846b
14c0775d9a
157661d8dc
hex4ba396a4

1269012132 has 36 divisors (see below), whose sum is σ = 3221569260. Its totient is φ = 421185792.

The previous prime is 1269012113. The next prime is 1269012137. The reversal of 1269012132 is 2312109621.

It can be written as a sum of positive squares in 2 ways, for example, as 658230336 + 610781796 = 25656^2 + 24714^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12690121322 = 3220783582326370848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1269012096 and 1269012105.

It is not an unprimeable number, because it can be changed into a prime (1269012137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67257 + ... + 84032.

It is an arithmetic number, because the mean of its divisors is an integer number (89488035).

Almost surely, 21269012132 is an apocalyptic number.

1269012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1269012132 is an abundant number, since it is smaller than the sum of its proper divisors (1952557128).

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

1269012132 is a wasteful number, since it uses less digits than its factorization.

1269012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151532 (or 151527 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1269012132 is about 35623.1965438252. The cubic root of 1269012132 is about 1082.6512741707.

The spelling of 1269012132 in words is "one billion, two hundred sixty-nine million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 151289 302578 453867 605156 907734 1361601 1815468 2723202 5446404 35250337 70500674 105751011 141001348 211502022 317253033 423004044 634506066 1269012132