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1125876480 = 2835449653
BaseRepresentation
bin100001100011011…
…1000001100000000
32220110112110011220
41003012320030000
54301211021410
6303415235040
736620535501
oct10306701400
92813473156
101125876480
11528589733
12275078a80
1314c340b01
14a9756ba8
1568c98070
hex431b8300

1125876480 has 144 divisors (see below), whose sum is σ = 3609295200. Its totient is φ = 299106304.

The previous prime is 1125876461. The next prime is 1125876481. The reversal of 1125876480 is 846785211.

It is not an unprimeable number, because it can be changed into a prime (1125876481) 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, 1723834 + ... + 1724486.

It is an arithmetic number, because the mean of its divisors is an integer number (25064550).

Almost surely, 21125876480 is an apocalyptic number.

1125876480 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 1125876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804647600).

1125876480 is an abundant number, since it is smaller than the sum of its proper divisors (2483418720).

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

1125876480 is an equidigital number, since it uses as much as digits as its factorization.

1125876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1125876480 is about 33554.0829110259. The cubic root of 1125876480 is about 1040.3119379860.

The spelling of 1125876480 in words is "one billion, one hundred twenty-five million, eight hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 449 480 640 653 768 898 960 1280 1306 1347 1796 1920 1959 2245 2612 2694 3265 3592 3840 3918 4490 5224 5388 6530 6735 7184 7836 8980 9795 10448 10776 13060 13470 14368 15672 17960 19590 20896 21552 26120 26940 28736 31344 35920 39180 41792 43104 52240 53880 57472 62688 71840 78360 83584 86208 104480 107760 114944 125376 143680 156720 167168 172416 208960 215520 250752 287360 293197 313440 344832 417920 431040 501504 574720 586394 626880 835840 862080 879591 1172788 1253760 1465985 1724160 1759182 2345576 2507520 2931970 3518364 4397955 4691152 5863940 7036728 8795910 9382304 11727880 14073456 17591820 18764608 23455760 28146912 35183640 37529216 46911520 56293824 70367280 75058432 93823040 112587648 140734560 187646080 225175296 281469120 375292160 562938240 1125876480