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1126013140 = 225727116183
BaseRepresentation
bin100001100011101…
…1001100011010100
32220110210101122101
41003013121203110
54301224410030
6303422211444
736621645100
oct10307314324
92813711571
101126013140
1152867237a
12275123b84
1314c38b085
14a9790900
1568cc37ca
hex431d98d4

1126013140 has 72 divisors (see below), whose sum is σ = 2789603712. Its totient is φ = 380600640.

The previous prime is 1126013113. The next prime is 1126013177. The reversal of 1126013140 is 413106211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61489 + ... + 77671.

It is an arithmetic number, because the mean of its divisors is an integer number (38744496).

Almost surely, 21126013140 is an apocalyptic number.

1126013140 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 1126013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394801856).

1126013140 is an abundant number, since it is smaller than the sum of its proper divisors (1663590572).

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

1126013140 is a wasteful number, since it uses less digits than its factorization.

1126013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16277 (or 16268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1126013140 is about 33556.1192631091. The cubic root of 1126013140 is about 1040.3540276469.

Adding to 1126013140 its reverse (413106211), we get a palindrome (1539119351).

The spelling of 1126013140 in words is "one billion, one hundred twenty-six million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 140 142 196 245 284 355 490 497 710 980 994 1420 1988 2485 3479 4970 6958 9940 13916 16183 17395 32366 34790 64732 69580 80915 113281 161830 226562 323660 453124 566405 792967 1132810 1148993 1585934 2265620 2297986 3171868 3964835 4595972 5744965 7929670 8042951 11489930 15859340 16085902 22979860 32171804 40214755 56300657 80429510 112601314 160859020 225202628 281503285 563006570 1126013140