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1080403968 = 2113725121
BaseRepresentation
bin100000001100101…
…1010100000000000
32210021222012121210
41000121122200000
54203040411333
6255112450120
735526165540
oct10031324000
92707865553
101080403968
11504950546
122619a9940
13142aac3b7
14a36bb320
1564cb4a63
hex4065a800

1080403968 has 96 divisors (see below), whose sum is σ = 3291986880. Its totient is φ = 308674560.

The previous prime is 1080403963. The next prime is 1080403979. The reversal of 1080403968 is 8693040801.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1080403963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30448 + ... + 55568.

It is an arithmetic number, because the mean of its divisors is an integer number (34291530).

Almost surely, 21080403968 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 1080403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645993440).

1080403968 is an abundant number, since it is smaller than the sum of its proper divisors (2211582912).

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

1080403968 is an equidigital number, since it uses as much as digits as its factorization.

1080403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25153 (or 25133 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1080403968 is about 32869.4990530735. The cubic root of 1080403968 is about 1026.1134734605.

The spelling of 1080403968 in words is "one billion, eighty million, four hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 25121 43008 50242 75363 100484 150726 175847 200968 301452 351694 401936 527541 602904 703388 803872 1055082 1205808 1406776 1607744 2110164 2411616 2813552 3215488 4220328 4823232 5627104 6430976 8440656 9646464 11254208 12861952 16881312 19292928 22508416 25723904 33762624 38585856 45016832 51447808 67525248 77171712 90033664 135050496 154343424 180067328 270100992 360134656 540201984 1080403968