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1134331120 = 245131783773
BaseRepresentation
bin100001110011100…
…1000010011110000
32221001102222202201
41003213020103300
54310342043440
6304320352544
740052440546
oct10347102360
92831388681
101134331120
1153233383a
12277a75754
13151011160
14aa917d96
15698b819a
hex439c84f0

1134331120 has 160 divisors (see below), whose sum is σ = 3047429952. Its totient is φ = 388939776.

The previous prime is 1134331117. The next prime is 1134331129. The reversal of 1134331120 is 211334311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134331129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1467054 + ... + 1467826.

Almost surely, 21134331120 is an apocalyptic number.

1134331120 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 1134331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523714976).

1134331120 is an abundant number, since it is smaller than the sum of its proper divisors (1913098832).

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

1134331120 is a wasteful number, since it uses less digits than its factorization.

1134331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1134331120 is about 33679.8325411514. The cubic root of 1134331120 is about 1042.9094811145.

Adding to 1134331120 its reverse (211334311), we get a palindrome (1345665431).

The spelling of 1134331120 in words is "one billion, one hundred thirty-four million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 83 85 104 130 136 166 170 208 221 260 272 332 340 415 442 520 664 680 773 830 884 1040 1079 1105 1328 1360 1411 1546 1660 1768 2158 2210 2822 3092 3320 3536 3865 4316 4420 5395 5644 6184 6640 7055 7730 8632 8840 10049 10790 11288 12368 13141 14110 15460 17264 17680 18343 20098 21580 22576 26282 28220 30920 36686 40196 43160 50245 52564 56440 61840 64159 65705 73372 80392 86320 91715 100490 105128 112880 128318 131410 146744 160784 170833 183430 200980 210256 256636 262820 293488 320795 341666 366860 401960 513272 525640 641590 683332 733720 803920 834067 854165 1026544 1051280 1090703 1283180 1366664 1467440 1668134 1708330 2181406 2566360 2733328 3336268 3416660 4170335 4362812 5132720 5453515 6672536 6833320 8340670 8725624 10907030 13345072 13666640 14179139 16681340 17451248 21814060 28358278 33362680 43628120 56716556 66725360 70895695 87256240 113433112 141791390 226866224 283582780 567165560 1134331120