Search a number
-
+
1126122816 = 26371364453
BaseRepresentation
bin100001100011111…
…0100010101000000
32220110222222002110
41003013310111000
54301241412231
6303424415320
736622612620
oct10307642500
92813888073
101126122816
11528737815
12275177540
1314c3c8c80
14a97bc880
1568ce6046
hex431f4540

1126122816 has 112 divisors (see below), whose sum is σ = 3667174784. Its totient is φ = 296994816.

The previous prime is 1126122797. The next prime is 1126122841. The reversal of 1126122816 is 6182216211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 14755 + ... + 49698.

It is an arithmetic number, because the mean of its divisors is an integer number (32742632).

Almost surely, 21126122816 is an apocalyptic number.

1126122816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1126122816 is an abundant number, since it is smaller than the sum of its proper divisors (2541051968).

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

1126122816 is a wasteful number, since it uses less digits than its factorization.

1126122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64488 (or 64478 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 1126122816 is about 33557.7534408965. The cubic root of 1126122816 is about 1040.3878040923.

The spelling of 1126122816 in words is "one billion, one hundred twenty-six million, one hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 64453 128906 193359 257812 386718 451171 515624 773436 837889 902342 1031248 1353513 1546872 1675778 1804684 2062496 2513667 2707026 3093744 3351556 3609368 4124992 5027334 5414052 5865223 6187488 6703112 7218736 10054668 10828104 11730446 12374976 13406224 14437472 17595669 20109336 21656208 23460892 26812448 28874944 35191338 40218672 43312416 46921784 53624896 70382676 80437344 86624832 93843568 140765352 160874688 187687136 281530704 375374272 563061408 1126122816