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1081876224 = 28311139851
BaseRepresentation
bin100000001111100…
…0001111100000000
32210101202000011210
41000133001330000
54203430014344
6255204210120
735544540042
oct10037017400
92711660153
101081876224
11505766690
12262399940
131431a6560
14a3981a92
1564ea5db9
hex407c1f00

1081876224 has 144 divisors (see below), whose sum is σ = 3383097984. Its totient is φ = 302592000.

The previous prime is 1081876219. The next prime is 1081876241. The reversal of 1081876224 is 4226781801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104899 + ... + 114749.

It is an arithmetic number, because the mean of its divisors is an integer number (23493736).

Almost surely, 21081876224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1081876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691548992).

1081876224 is an abundant number, since it is smaller than the sum of its proper divisors (2301221760).

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

1081876224 is a wasteful number, since it uses less digits than its factorization.

1081876224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9894 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 1081876224 is about 32891.8869023959. The cubic root of 1081876224 is about 1026.5793535311.

It can be divided in two parts, 108187 and 6224, that added together give a palindrome (114411).

The spelling of 1081876224 in words is "one billion, eighty-one million, eight hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 2816 3328 3432 4224 4576 4992 6864 8448 9152 9851 9984 13728 18304 19702 27456 29553 36608 39404 54912 59106 78808 108361 109824 118212 128063 157616 216722 236424 256126 315232 325083 384189 433444 472848 512252 630464 650166 768378 866888 945696 1024504 1260928 1300332 1408693 1536756 1733776 1891392 2049008 2521856 2600664 2817386 3073512 3467552 3782784 4098016 4226079 5201328 5634772 6147024 6935104 7565568 8196032 8452158 10402656 11269544 12294048 13870208 16392064 16904316 20805312 22539088 24588096 27740416 32784128 33808632 41610624 45078176 49176192 67617264 83221248 90156352 98352384 135234528 180312704 270469056 360625408 540938112 1081876224