Search a number
-
+
1126102656 = 2737795303
BaseRepresentation
bin100001100011110…
…1111011010000000
32220110221221102210
41003013233122000
54301240241111
6303424142120
736622500060
oct10307573200
92813857383
101126102656
11528723658
12275167940
1314c3bca43
14a97b53a0
1568ce00a6
hex431ef680

1126102656 has 128 divisors (see below), whose sum is σ = 3462451200. Its totient is φ = 317611008.

The previous prime is 1126102643. The next prime is 1126102669. The reversal of 1126102656 is 6562016211.

It is an interprime number because it is at equal distance from previous prime (1126102643) and next prime (1126102669).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209701 + ... + 215003.

It is an arithmetic number, because the mean of its divisors is an integer number (27050400).

Almost surely, 21126102656 is an apocalyptic number.

1126102656 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 1126102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731225600).

1126102656 is an abundant number, since it is smaller than the sum of its proper divisors (2336348544).

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

1126102656 is an equidigital number, since it uses as much as digits as its factorization.

1126102656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1126102656 is about 33557.4530618758. The cubic root of 1126102656 is about 1040.3815956684.

Adding to 1126102656 its reverse (6562016211), we get a palindrome (7688118867).

The spelling of 1126102656 in words is "one billion, one hundred twenty-six million, one hundred two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 316 336 384 448 474 553 632 672 896 948 1106 1264 1344 1659 1896 2212 2528 2688 3318 3792 4424 5056 5303 6636 7584 8848 10112 10606 13272 15168 15909 17696 21212 26544 30336 31818 35392 37121 42424 53088 63636 70784 74242 84848 106176 111363 127272 148484 169696 212352 222726 254544 296968 339392 418937 445452 509088 593936 678784 837874 890904 1018176 1187872 1256811 1675748 1781808 2036352 2375744 2513622 2932559 3351496 3563616 4751488 5027244 5865118 6702992 7127232 8797677 10054488 11730236 13405984 14254464 17595354 20108976 23460472 26811968 35190708 40217952 46920944 53623936 70381416 80435904 93841888 140762832 160871808 187683776 281525664 375367552 563051328 1126102656