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399372120 = 23345717609
BaseRepresentation
bin10111110011011…
…110111101011000
31000211111012120000
4113303132331120
51304214401440
6103343533000
712616415130
oct2763367530
91024435500
10399372120
11195487204
12b18ba160
1364981884
143b07dac0
15250dc730
hex17cdef58

399372120 has 160 divisors (see below), whose sum is σ = 1534183200. Its totient is φ = 91279872.

The previous prime is 399372073. The next prime is 399372131. The reversal of 399372120 is 21273993.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 13876 + ... + 31484.

It is an arithmetic number, because the mean of its divisors is an integer number (9588645).

Almost surely, 2399372120 is an apocalyptic number.

399372120 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 399372120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767091600).

399372120 is an abundant number, since it is smaller than the sum of its proper divisors (1134811080).

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

399372120 is a wasteful number, since it uses less digits than its factorization.

399372120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17639 (or 17626 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 399372120 is about 19984.2968352654. The cubic root of 399372120 is about 736.4205762180.

The spelling of 399372120 in words is "three hundred ninety-nine million, three hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 17609 22680 35218 52827 70436 88045 105654 123263 140872 158481 176090 211308 246526 264135 316962 352180 369789 422616 475443 493052 528270 616315 633924 704360 739578 792405 950886 986104 1056540 1109367 1232630 1267848 1426329 1479156 1584810 1848945 1901772 2113080 2218734 2377215 2465260 2852658 2958312 3169620 3328101 3697890 3803544 4437468 4754430 4930520 5546835 5705316 6339240 6656202 7131645 7395780 8874936 9508860 9984303 11093670 11410632 13312404 14263290 14791560 16640505 19017720 19968606 22187340 26624808 28526580 33281010 39937212 44374680 49921515 57053160 66562020 79874424 99843030 133124040 199686060 399372120