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1194918072 = 2335371101131
BaseRepresentation
bin100011100111001…
…0000000010111000
310002021110010102220
41013032100002320
54421344334242
6314323124040
741416431105
oct10716200270
93067403386
101194918072
115635556a7
12294213620
1316073531a
14b49a9aac
156ed84bec
hex473900b8

1194918072 has 128 divisors (see below), whose sum is σ = 3140881920. Its totient is φ = 378560000.

The previous prime is 1194918041. The next prime is 1194918073. The reversal of 1194918072 is 2708194911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1194918073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9121447 + ... + 9121577.

It is an arithmetic number, because the mean of its divisors is an integer number (24538140).

Almost surely, 21194918072 is an apocalyptic number.

1194918072 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 1194918072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570440960).

1194918072 is an abundant number, since it is smaller than the sum of its proper divisors (1945963848).

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

1194918072 is a wasteful number, since it uses less digits than its factorization.

1194918072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 1194918072 is about 34567.5870144273. The cubic root of 1194918072 is about 1061.1563481504.

The spelling of 1194918072 in words is "one billion, one hundred ninety-four million, nine hundred eighteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 71 101 106 131 142 159 202 212 213 262 284 303 318 393 404 424 426 524 568 606 636 786 808 852 1048 1212 1272 1572 1704 2424 3144 3763 5353 6943 7171 7526 9301 10706 11289 13231 13886 14342 15052 16059 18602 20829 21412 21513 22578 26462 27772 27903 28684 30104 32118 37204 39693 41658 42824 43026 45156 52924 55544 55806 57368 64236 74408 79386 83316 86052 90312 105848 111612 128472 158772 166632 172104 223224 317544 380063 492953 701243 760126 939401 985906 1140189 1402486 1478859 1520252 1878802 1971812 2103729 2280378 2804972 2818203 2957718 3040504 3757604 3943624 4207458 4560756 5609944 5636406 5915436 7515208 8414916 9121512 11272812 11830872 16829832 22545624 49788253 99576506 149364759 199153012 298729518 398306024 597459036 1194918072