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1130857680 = 243517318941
BaseRepresentation
bin100001101100111…
…1000010011010000
32220210220112002210
41003121320103100
54303444421210
6304114112120
740011063111
oct10331702320
92823815083
101130857680
11530381127
1227687b640
13150396174
14aa292208
156942de20
hex436784d0

1130857680 has 160 divisors (see below), whose sum is σ = 3832040448. Its totient is φ = 274636800.

The previous prime is 1130857619. The next prime is 1130857681. The reversal of 1130857680 is 867580311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130857681) by changing a digit.

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, 122010 + ... + 130950.

Almost surely, 21130857680 is an apocalyptic number.

1130857680 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 1130857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916020224).

1130857680 is an abundant number, since it is smaller than the sum of its proper divisors (2701182768).

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

1130857680 is a wasteful number, since it uses less digits than its factorization.

1130857680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005 (or 8999 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 1130857680 is about 33628.2274287540. The cubic root of 1130857680 is about 1041.8438935857.

The spelling of 1130857680 in words is "one billion, one hundred thirty million, eight hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 34 40 48 51 60 62 68 80 85 93 102 120 124 136 155 170 186 204 240 248 255 272 310 340 372 408 465 496 510 527 620 680 744 816 930 1020 1054 1240 1360 1488 1581 1860 2040 2108 2480 2635 3162 3720 4080 4216 5270 6324 7440 7905 8432 8941 10540 12648 15810 17882 21080 25296 26823 31620 35764 42160 44705 53646 63240 71528 89410 107292 126480 134115 143056 151997 178820 214584 268230 277171 303994 357640 429168 455991 536460 554342 607988 715280 759985 831513 911982 1072920 1108684 1215976 1385855 1519970 1663026 1823964 2145840 2217368 2279955 2431952 2771710 3039940 3326052 3647928 4157565 4434736 4559910 4711907 5543420 6079880 6652104 7295856 8315130 9119820 9423814 11086840 12159760 13304208 14135721 16630260 18239640 18847628 22173680 23559535 28271442 33260520 36479280 37695256 47119070 56542884 66521040 70678605 75390512 94238140 113085768 141357210 188476280 226171536 282714420 376952560 565428840 1130857680