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394129120 = 25571131991
BaseRepresentation
bin10111011111011…
…110111011100000
31000110121211111211
4113133132323200
51301344112440
6103035315504
712524020330
oct2737367340
91013554454
10394129120
11192526050
12abbabb94
13638672c8
143a4b70c0
1524903eea
hex177deee0

394129120 has 96 divisors (see below), whose sum is σ = 1160925696. Its totient is φ = 122841600.

The previous prime is 394129097. The next prime is 394129159. The reversal of 394129120 is 21921493.

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 15 ways as a sum of consecutive naturals, for example, 3676 + ... + 28315.

It is an arithmetic number, because the mean of its divisors is an integer number (12092976).

Almost surely, 2394129120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580462848).

394129120 is an abundant number, since it is smaller than the sum of its proper divisors (766796576).

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

394129120 is a wasteful number, since it uses less digits than its factorization.

394129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32024 (or 32016 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 394129120 is about 19852.6854606625. The cubic root of 394129120 is about 733.1837674774.

The spelling of 394129120 in words is "three hundred ninety-four million, one hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 31991 63982 127964 159955 223937 255928 319910 351901 447874 511856 639820 703802 895748 1023712 1119685 1279640 1407604 1759505 1791496 2239370 2463307 2559280 2815208 3519010 3582992 4478740 4926614 5118560 5630416 7038020 7165984 8957480 9853228 11260832 12316535 14076040 17914960 19706456 24633070 28152080 35829920 39412912 49266140 56304160 78825824 98532280 197064560 394129120