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1080442152 = 2336229809
BaseRepresentation
bin100000001100110…
…0011110100101000
32210022001011000000
41000121203310220
54203043122102
6255113343000
735526415056
oct10031436450
92708034000
101080442152
115049771a9
12261a07a60
13142ac38aa
14a36cb1d6
1564cc101c
hex40663d28

1080442152 has 112 divisors (see below), whose sum is σ = 3054388500. Its totient is φ = 358131456.

The previous prime is 1080442151. The next prime is 1080442159. The reversal of 1080442152 is 2512440801.

It can be written as a sum of positive squares in 2 ways, for example, as 853457796 + 226984356 = 29214^2 + 15066^2 .

It is a super-2 number, since 2×10804421522 = 2334710487636782208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1080442151) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1335124 + ... + 1335932.

Almost surely, 21080442152 is an apocalyptic number.

1080442152 is a gapful number since it is divisible by the number (12) 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 1080442152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527194250).

1080442152 is an abundant number, since it is smaller than the sum of its proper divisors (1973946348).

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

1080442152 is an equidigital number, since it uses as much as digits as its factorization.

1080442152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1080442152 is about 32870.0798903806. The cubic root of 1080442152 is about 1026.1255617338.

Adding to 1080442152 its reverse (2512440801), we get a palindrome (3592882953).

The spelling of 1080442152 in words is "one billion, eighty million, four hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 229 243 324 458 486 648 687 729 809 916 972 1374 1458 1618 1832 1944 2061 2427 2748 2916 3236 4122 4854 5496 5832 6183 6472 7281 8244 9708 12366 14562 16488 18549 19416 21843 24732 29124 37098 43686 49464 55647 58248 65529 74196 87372 111294 131058 148392 166941 174744 185261 196587 222588 262116 333882 370522 393174 445176 524232 555783 589761 667764 741044 786348 1111566 1179522 1335528 1482088 1572696 1667349 2223132 2359044 3334698 4446264 4718088 5002047 6669396 10004094 13338792 15006141 20008188 30012282 40016376 45018423 60024564 90036846 120049128 135055269 180073692 270110538 360147384 540221076 1080442152