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1136076340 = 225717243653
BaseRepresentation
bin100001110110111…
…0010011000110100
32221011201122202111
41003231302120310
54311313420330
6304422020404
740103326630
oct10355623064
92834648674
101136076340
11533315a73
12278577704
131514a2629
14aac4ddc0
1569b1032a
hex43b72634

1136076340 has 144 divisors (see below), whose sum is σ = 2968301952. Its totient is φ = 357525504.

The previous prime is 1136076311. The next prime is 1136076343. The reversal of 1136076340 is 436706311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136076343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1739454 + ... + 1740106.

It is an arithmetic number, because the mean of its divisors is an integer number (20613208).

Almost surely, 21136076340 is an apocalyptic number.

1136076340 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 1136076340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484150976).

1136076340 is an abundant number, since it is smaller than the sum of its proper divisors (1832225612).

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

1136076340 is a wasteful number, since it uses less digits than its factorization.

1136076340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 1136076340 is about 33705.7315600774. The cubic root of 1136076340 is about 1043.4440616001. Note that the first 3 decimals are identical.

The spelling of 1136076340 in words is "one billion, one hundred thirty-six million, seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 43 68 70 85 86 119 140 170 172 215 238 289 301 340 430 476 578 595 602 653 731 860 1156 1190 1204 1306 1445 1462 1505 2023 2380 2612 2890 2924 3010 3265 3655 4046 4571 5117 5780 6020 6530 7310 8092 9142 10115 10234 11101 12427 13060 14620 18284 20230 20468 22202 22855 24854 25585 28079 40460 44404 45710 49708 51170 55505 56158 62135 77707 86989 91420 102340 111010 112316 124270 140395 155414 173978 188717 196553 222020 248540 280790 310828 347956 377434 388535 393106 434945 477343 561580 754868 777070 786212 869890 943585 954686 982765 1321019 1554140 1739780 1887170 1909372 1965530 2386715 2642038 3341401 3774340 3931060 4773430 5284076 6605095 6682802 8114831 9546860 13210190 13365604 16229662 16707005 26420380 32459324 33414010 40574155 56803817 66828020 81148310 113607634 162296620 227215268 284019085 568038170 1136076340