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1126544340 = 223531619929
BaseRepresentation
bin100001100100101…
…1011001111010100
32220111210101022110
41003021123033110
54301343404330
6303441431020
736626316555
oct10311331724
92814711273
101126544340
115289a5489
1227533b470
1314c515aac
14a988c32c
1568d7adb0
hex4325b3d4

1126544340 has 96 divisors (see below), whose sum is σ = 3309788160. Its totient is φ = 285926400.

The previous prime is 1126544339. The next prime is 1126544381. The reversal of 1126544340 is 434456211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1126544298 and 1126544307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108496 + ... + 118424.

It is an arithmetic number, because the mean of its divisors is an integer number (34476960).

Almost surely, 21126544340 is an apocalyptic number.

1126544340 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 1126544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654894080).

1126544340 is an abundant number, since it is smaller than the sum of its proper divisors (2183243820).

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

1126544340 is a wasteful number, since it uses less digits than its factorization.

1126544340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1126544340 is about 33564.0334286569. The cubic root of 1126544340 is about 1040.5175986154.

The spelling of 1126544340 in words is "one billion, one hundred twenty-six million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 61 62 93 122 124 155 183 186 244 305 310 366 372 465 610 620 732 915 930 1220 1830 1860 1891 3660 3782 5673 7564 9455 9929 11346 18910 19858 22692 28365 29787 37820 39716 49645 56730 59574 99290 113460 119148 148935 198580 297870 307799 595740 605669 615598 923397 1211338 1231196 1538995 1817007 1846794 2422676 3028345 3077990 3634014 3693588 4616985 6056690 6155980 7268028 9085035 9233970 12113380 18170070 18467940 18775739 36340140 37551478 56327217 75102956 93878695 112654434 187757390 225308868 281636085 375514780 563272170 1126544340