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1078095216 = 243112119677
BaseRepresentation
bin100000001000010…
…0110110101110000
32210010121220121110
41000100212311300
54201443021331
6254551153320
735500441512
oct10020466560
92703556543
101078095216
11503613990
12261075840
13142481583
14a3279bb2
15649aa946
hex40426d70

1078095216 has 80 divisors (see below), whose sum is σ = 3052983168. Its totient is φ = 325113600.

The previous prime is 1078095209. The next prime is 1078095257. The reversal of 1078095216 is 6125908701.

1078095216 is nontrivially palindromic in base 15.

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, 106570 + ... + 116246.

Almost surely, 21078095216 is an apocalyptic number.

1078095216 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 1078095216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526491584).

1078095216 is an abundant number, since it is smaller than the sum of its proper divisors (1974887952).

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

1078095216 is a wasteful number, since it uses less digits than its factorization.

1078095216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910 (or 9904 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 1078095216 is about 32834.3602952760. The cubic root of 1078095216 is about 1025.3820399394.

The spelling of 1078095216 in words is "one billion, seventy-eight million, ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 211 264 422 528 633 844 1266 1688 2321 2532 3376 4642 5064 6963 9284 9677 10128 13926 18568 19354 27852 29031 37136 38708 55704 58062 77416 106447 111408 116124 154832 212894 232248 319341 425788 464496 638682 851576 1277364 1703152 2041847 2554728 4083694 5109456 6125541 8167388 12251082 16334776 22460317 24502164 32669552 44920634 49004328 67380951 89841268 98008656 134761902 179682536 269523804 359365072 539047608 1078095216