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1276228480 = 27519104953
BaseRepresentation
bin100110000010001…
…1011001110000000
310021221110010100111
41030010123032000
510103203302410
6330350001104
743424522512
oct11404331600
93257403314
101276228480
115a544138a
122b74a6194
13174533ca7
14c16d3bb2
1577096b8a
hex4c11b380

1276228480 has 64 divisors (see below), whose sum is σ = 3211592400. Its totient is φ = 483618816.

The previous prime is 1276228463. The next prime is 1276228487. The reversal of 1276228480 is 848226721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12762284802 = 3257518266326220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1276228487) 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 7 ways as a sum of consecutive naturals, for example, 40317 + ... + 64636.

Almost surely, 21276228480 is an apocalyptic number.

1276228480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1276228480 is an abundant number, since it is smaller than the sum of its proper divisors (1935363920).

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

1276228480 is a wasteful number, since it uses less digits than its factorization.

1276228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104991 (or 104979 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 1276228480 is about 35724.3401618560. The cubic root of 1276228480 is about 1084.6995933324.

The spelling of 1276228480 in words is "one billion, two hundred seventy-six million, two hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 104953 209906 419812 524765 839624 1049530 1679248 1994107 2099060 3358496 3988214 4198120 6716992 7976428 8396240 9970535 13433984 15952856 16792480 19941070 31905712 33584960 39882140 63811424 67169920 79764280 127622848 159528560 255245696 319057120 638114240 1276228480