Search a number
-
+
385390720 = 27511134211
BaseRepresentation
bin10110111110001…
…001100010000000
3222212011212200101
4112332021202000
51242130000340
6102124132144
712356524051
oct2676114200
9885155611
10385390720
111885a7830
12a9097054
1361ac7a60
1439280728
1523c79c9a
hex16f89880

385390720 has 128 divisors (see below), whose sum is σ = 1082652480. Its totient is φ = 129331200.

The previous prime is 385390703. The next prime is 385390757. The reversal of 385390720 is 27093583.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 385390720.

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, 89415 + ... + 93625.

Almost surely, 2385390720 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 385390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541326240).

385390720 is an abundant number, since it is smaller than the sum of its proper divisors (697261760).

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

385390720 is a wasteful number, since it uses less digits than its factorization.

385390720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 385390720 is about 19631.3708130635. The cubic root of 385390720 is about 727.7246473050.

The spelling of 385390720 in words is "three hundred eighty-five million, three hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1664 1760 2080 2288 2860 3520 4160 4211 4576 5720 7040 8320 8422 9152 11440 16844 18304 21055 22880 33688 42110 45760 46321 54743 67376 84220 91520 92642 109486 134752 168440 185284 218972 231605 269504 273715 336880 370568 437944 463210 539008 547430 602173 673760 741136 875888 926420 1094860 1204346 1347520 1482272 1751776 1852840 2189720 2408692 2695040 2964544 3010865 3503552 3705680 4379440 4817384 5929088 6021730 7007104 7411360 8758880 9634768 12043460 14822720 17517760 19269536 24086920 29645440 35035520 38539072 48173840 77078144 96347680 192695360 385390720