Search a number
-
+
200391360 = 26351316057
BaseRepresentation
bin10111111000110…
…11101011000000
3111222001221021020
423330123223000
5402300010420
631515025440
74652204241
oct1374335300
9458057236
10200391360
11a312aaa4
125713b280
1332693490
141c884cc8
15128d5340
hexbf1bac0

200391360 has 112 divisors (see below), whose sum is σ = 685226976. Its totient is φ = 49324032.

The previous prime is 200391353. The next prime is 200391383. The reversal of 200391360 is 63193002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200391360.

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, 4452 + ... + 20508.

It is an arithmetic number, because the mean of its divisors is an integer number (6118098).

Almost surely, 2200391360 is an apocalyptic number.

200391360 is a gapful number since it is divisible by the number (20) 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 200391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342613488).

200391360 is an abundant number, since it is smaller than the sum of its proper divisors (484835616).

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

200391360 is a wasteful number, since it uses less digits than its factorization.

200391360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16090 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 200391360 is about 14155.9655269430. The cubic root of 200391360 is about 585.1847469677.

The spelling of 200391360 in words is "two hundred million, three hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 16057 32114 48171 64228 80285 96342 128456 160570 192684 208741 240855 256912 321140 385368 417482 481710 513824 626223 642280 770736 834964 963420 1027648 1043705 1252446 1284560 1541472 1669928 1926840 2087410 2504892 2569120 3082944 3131115 3339856 3853680 4174820 5009784 5138240 6262230 6679712 7707360 8349640 10019568 12524460 13359424 15414720 16699280 20039136 25048920 33398560 40078272 50097840 66797120 100195680 200391360