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1130214096 = 2432112632713
BaseRepresentation
bin100001101011101…
…1011001011010000
32220202200211021100
41003113123023100
54303313322341
6304052224400
740002442554
oct10327331320
92822624240
101130214096
1152aa81640
1227660b100
131501cc24b
14aa165864
15693533b6
hex435db2d0

1130214096 has 120 divisors (see below), whose sum is σ = 3464974656. Its totient is φ = 341061120.

The previous prime is 1130214073. The next prime is 1130214101. The reversal of 1130214096 is 6904120311.

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, 415236 + ... + 417948.

Almost surely, 21130214096 is an apocalyptic number.

1130214096 is a gapful number since it is divisible by the number (16) 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 1130214096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732487328).

1130214096 is an abundant number, since it is smaller than the sum of its proper divisors (2334760560).

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

1130214096 is a wasteful number, since it uses less digits than its factorization.

1130214096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1130214096 is about 33618.6569630614. The cubic root of 1130214096 is about 1041.6462143341.

The spelling of 1130214096 in words is "one billion, one hundred thirty million, two hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 263 264 396 526 528 789 792 1052 1578 1584 2104 2367 2713 2893 3156 4208 4734 5426 5786 6312 8139 8679 9468 10852 11572 12624 16278 17358 18936 21704 23144 24417 26037 29843 32556 34716 37872 43408 46288 48834 52074 59686 65112 69432 89529 97668 104148 119372 130224 138864 179058 195336 208296 238744 268587 358116 390672 416592 477488 537174 713519 716232 1074348 1427038 1432464 2140557 2148696 2854076 4281114 4297392 5708152 6421671 7848709 8562228 11416304 12843342 15697418 17124456 23546127 25686684 31394836 34248912 47092254 51373368 62789672 70638381 94184508 102746736 125579344 141276762 188369016 282553524 376738032 565107048 1130214096