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1141276080 = 243573172143
BaseRepresentation
bin100010000000110…
…0111110110110000
32221112111211110110
41010001213312300
54314131313310
6305125301320
740165454340
oct10401476660
92845454413
101141276080
1153624767a
1227a264840
131525a32b9
14ab804d20
156a2dad20
hex44067db0

1141276080 has 160 divisors (see below), whose sum is σ = 4058025984. Its totient is φ = 259918848.

The previous prime is 1141276051. The next prime is 1141276093. The reversal of 1141276080 is 806721411.

It is a super-2 number, since 2×11412760802 = 2605022181560332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 531489 + ... + 533631.

Almost surely, 21141276080 is an apocalyptic number.

1141276080 is a gapful number since it is divisible by the number (10) 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 1141276080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029012992).

1141276080 is an abundant number, since it is smaller than the sum of its proper divisors (2916749904).

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

1141276080 is a wasteful number, since it uses less digits than its factorization.

1141276080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1141276080 is about 33782.7778609161. Note that the first 3 decimals coincide. The cubic root of 1141276080 is about 1045.0335619510.

Adding to 1141276080 its reverse (806721411), we get a palindrome (1947997491).

The spelling of 1141276080 in words is "one billion, one hundred forty-one million, two hundred seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 317 336 420 560 634 840 951 1268 1585 1680 1902 2143 2219 2536 3170 3804 4286 4438 4755 5072 6340 6429 6657 7608 8572 8876 9510 10715 11095 12680 12858 13314 15001 15216 17144 17752 19020 21430 22190 25360 25716 26628 30002 32145 33285 34288 35504 38040 42860 44380 45003 51432 53256 60004 64290 66570 75005 76080 85720 88760 90006 102864 106512 120008 128580 133140 150010 171440 177520 180012 225015 240016 257160 266280 300020 360024 450030 514320 532560 600040 679331 720048 900060 1200080 1358662 1800120 2037993 2717324 3396655 3600240 4075986 4755317 5434648 6793310 8151972 9510634 10189965 10869296 13586620 14265951 16303944 19021268 20379930 23776585 27173240 28531902 32607888 38042536 40759860 47553170 54346480 57063804 71329755 76085072 81519720 95106340 114127608 142659510 163039440 190212680 228255216 285319020 380425360 570638040 1141276080