Search a number
-
+
394151120 = 245111726347
BaseRepresentation
bin10111011111100…
…100010011010000
31000110122221200122
4113133210103100
51301400313440
6103040005412
712524141426
oct2737442320
91013587618
10394151120
11192540630
12b0000868
136387431c
143a4c1116
152490a7b5
hex177e44d0

394151120 has 80 divisors (see below), whose sum is σ = 1058557248. Its totient is φ = 134891520.

The previous prime is 394151117. The next prime is 394151183. The reversal of 394151120 is 21151493.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 394151120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1787 + ... + 28133.

Almost surely, 2394151120 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 394151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529278624).

394151120 is an abundant number, since it is smaller than the sum of its proper divisors (664406128).

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

394151120 is a wasteful number, since it uses less digits than its factorization.

394151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26388 (or 26382 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 394151120 is about 19853.2395341415. The cubic root of 394151120 is about 733.1974091513.

The spelling of 394151120 in words is "three hundred ninety-four million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 26347 52694 105388 131735 210776 263470 289817 421552 447899 526940 579634 895798 1053880 1159268 1449085 1791596 2107760 2239495 2318536 2898170 3583192 4478990 4637072 4926889 5796340 7166384 8957980 9853778 11592680 17915960 19707556 23185360 24634445 35831920 39415112 49268890 78830224 98537780 197075560 394151120