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1132255680 = 26351378609
BaseRepresentation
bin100001101111100…
…1101100111000000
32220220112112210120
41003133031213000
54304324140210
6304204100240
740026004653
oct10337154700
92826475716
101132255680
115311464a6
12277234680
1315076559a
14aa53789a
1569608270
hex437cd9c0

1132255680 has 112 divisors (see below), whose sum is σ = 3621572640. Its totient is φ = 299696128.

The previous prime is 1132255679. The next prime is 1132255681. The reversal of 1132255680 is 865522311.

It is an interprime number because it is at equal distance from previous prime (1132255679) and next prime (1132255681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132255681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127216 + ... + 135824.

It is an arithmetic number, because the mean of its divisors is an integer number (32335470).

Almost surely, 21132255680 is an apocalyptic number.

1132255680 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 1132255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810786320).

1132255680 is an abundant number, since it is smaller than the sum of its proper divisors (2489316960).

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

1132255680 is a wasteful number, since it uses less digits than its factorization.

1132255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1132255680 is about 33649.0071175956. The cubic root of 1132255680 is about 1042.2730362952.

Adding to 1132255680 its reverse (865522311), we get a palindrome (1997777991).

The spelling of 1132255680 in words is "one billion, one hundred thirty-two million, two hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 137 160 192 240 274 320 411 480 548 685 822 960 1096 1370 1644 2055 2192 2740 3288 4110 4384 5480 6576 8220 8609 8768 10960 13152 16440 17218 21920 25827 26304 32880 34436 43045 43840 51654 65760 68872 86090 103308 129135 131520 137744 172180 206616 258270 275488 344360 413232 516540 550976 688720 826464 1033080 1179433 1377440 1652928 2066160 2358866 2754880 3538299 4132320 4717732 5897165 7076598 8264640 9435464 11794330 14153196 17691495 18870928 23588660 28306392 35382990 37741856 47177320 56612784 70765980 75483712 94354640 113225568 141531960 188709280 226451136 283063920 377418560 566127840 1132255680