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1198128996 = 22366412
BaseRepresentation
bin100011101101001…
…1111111101100100
310002111111021000000
41013122133331210
54423210111441
6314520021300
741455633311
oct10732377544
93074437000
101198128996
11565349059
12295301830
131612ba98c
14b51a3d08
15702bb2b6
hex4769ff64

1198128996 has 63 divisors (see below), whose sum is σ = 3148562473. Its totient is φ = 398753280.

The previous prime is 1198128977. The next prime is 1198129001. The reversal of 1198128996 is 6998218911.

The square root of 1198128996 is 34614.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1081488996 + 116640000 = 32886^2 + 10800^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1868836 + ... + 1869476.

Almost surely, 21198128996 is an apocalyptic number.

1198128996 is the 34614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1198128996

1198128996 is an abundant number, since it is smaller than the sum of its proper divisors (1950433477).

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

1198128996 is an frugal number, since it uses more digits than its factorization.

1198128996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 646 counting only the distinct ones).

The product of its digits is 559872, while the sum is 54.

The cubic root of 1198128996 is about 1062.1059934428.

The spelling of 1198128996 in words is "one billion, one hundred ninety-eight million, one hundred twenty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 641 729 972 1282 1458 1923 2564 2916 3846 5769 7692 11538 17307 23076 34614 51921 69228 103842 155763 207684 311526 410881 467289 623052 821762 934578 1232643 1643524 1869156 2465286 3697929 4930572 7395858 11093787 14791716 22187574 33281361 44375148 66562722 99844083 133125444 199688166 299532249 399376332 599064498 1198128996