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396684120 = 233571727779
BaseRepresentation
bin10111101001001…
…110101101011000
31000122102122022110
4113221032231120
51303022342440
6103210152320
712554521320
oct2751165530
91018378273
10396684120
11193a10718
12b0a226a0
1364250241
143a980280
1524c5b080
hex17a4eb58

396684120 has 128 divisors (see below), whose sum is σ = 1440115200. Its totient is φ = 85334016.

The previous prime is 396684107. The next prime is 396684133. The reversal of 396684120 is 21486693.

It is an interprime number because it is at equal distance from previous prime (396684107) and next prime (396684133).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391 + ... + 28169.

It is an arithmetic number, because the mean of its divisors is an integer number (11250900).

Almost surely, 2396684120 is an apocalyptic number.

396684120 is a gapful number since it is divisible by the number (30) 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 396684120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720057600).

396684120 is an abundant number, since it is smaller than the sum of its proper divisors (1043431080).

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

396684120 is a wasteful number, since it uses less digits than its factorization.

396684120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27817 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 396684120 is about 19916.9304863977. The cubic root of 396684120 is about 734.7646800933.

The spelling of 396684120 in words is "three hundred ninety-six million, six hundred eighty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 27779 55558 83337 111116 138895 166674 194453 222232 277790 333348 388906 416685 472243 555580 583359 666696 777812 833370 944486 972265 1111160 1166718 1416729 1555624 1666740 1888972 1944530 2333436 2361215 2833458 2916795 3305701 3333480 3777944 3889060 4666872 4722430 5666916 5833590 6611402 7083645 7778120 9444860 9917103 11333832 11667180 13222804 14167290 16528505 18889720 19834206 23334360 26445608 28334580 33057010 39668412 49585515 56669160 66114020 79336824 99171030 132228040 198342060 396684120