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1081299456 = 29362897
BaseRepresentation
bin100000001110011…
…0101001000000000
32210100122201000000
41000130311020000
54203303040311
6255144000000
735536615356
oct10034651000
92710581000
101081299456
11505402316
12262160000
13143033b83
14a38717d6
1564de0056
hex40735200

1081299456 has 140 divisors (see below), whose sum is σ = 3240366822. Its totient is φ = 360308736.

The previous prime is 1081299451. The next prime is 1081299493. The reversal of 1081299456 is 6549921801.

1081299456 is a `hidden beast` number, since 108 + 1 + 2 + 99 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1049760000 + 31539456 = 32400^2 + 5616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081299451) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 371800 + ... + 374696.

Almost surely, 21081299456 is an apocalyptic number.

1081299456 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 1081299456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620183411).

1081299456 is an abundant number, since it is smaller than the sum of its proper divisors (2159067366).

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

1081299456 is an frugal number, since it uses more digits than its factorization.

1081299456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1081299456 is about 32883.1181003262. The cubic root of 1081299456 is about 1026.3968916937.

The spelling of 1081299456 in words is "one billion, eighty-one million, two hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2897 2916 3456 3888 4608 5184 5794 5832 6912 7776 8691 10368 11588 11664 13824 15552 17382 20736 23176 23328 26073 31104 34764 41472 46352 46656 52146 62208 69528 78219 92704 93312 104292 124416 139056 156438 185408 186624 208584 234657 278112 312876 370816 373248 417168 469314 556224 625752 703971 741632 834336 938628 1112448 1251504 1407942 1483264 1668672 1877256 2111913 2224896 2503008 2815884 3337344 3754512 4223826 4449792 5006016 5631768 6674688 7509024 8447652 10012032 11263536 13349376 15018048 16895304 20024064 22527072 30036096 33790608 40048128 45054144 60072192 67581216 90108288 120144384 135162432 180216576 270324864 360433152 540649728 1081299456