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1134293940 = 22325133791279
BaseRepresentation
bin100001110011011…
…1111001110110100
32221001101002202200
41003212333032310
54310334401230
6304315504500
740052224263
oct10346771664
92831332680
101134293940
1153230890a
12277a58130
13150cca260
14aa9085da
15698ac160
hex439bf3b4

1134293940 has 144 divisors (see below), whose sum is σ = 3718041600. Its totient is φ = 278256384.

The previous prime is 1134293917. The next prime is 1134293959. The reversal of 1134293940 is 493924311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1134293895 and 1134293904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886221 + ... + 887499.

Almost surely, 21134293940 is an apocalyptic number.

1134293940 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 1134293940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859020800).

1134293940 is an abundant number, since it is smaller than the sum of its proper divisors (2583747660).

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

1134293940 is a wasteful number, since it uses less digits than its factorization.

1134293940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1134293940 is about 33679.2805742641. The cubic root of 1134293940 is about 1042.8980864998.

The spelling of 1134293940 in words is "one billion, one hundred thirty-four million, two hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 379 390 468 585 758 780 1137 1170 1279 1516 1895 2274 2340 2558 3411 3790 3837 4548 4927 5116 5685 6395 6822 7580 7674 9854 11370 11511 12790 13644 14781 15348 16627 17055 19185 19708 22740 23022 24635 25580 29562 33254 34110 38370 44343 46044 49270 49881 57555 59124 66508 68220 73905 76740 83135 88686 98540 99762 115110 147810 149643 166270 177372 199524 221715 230220 249405 295620 299286 332540 443430 484741 498810 598572 748215 886860 969482 997620 1454223 1496430 1938964 2423705 2908446 2992860 4362669 4847410 5816892 6301633 7271115 8725338 9694820 12603266 14542230 17450676 18904899 21813345 25206532 29084460 31508165 37809798 43626690 56714697 63016330 75619596 87253380 94524495 113429394 126032660 189048990 226858788 283573485 378097980 567146970 1134293940