Search a number
-
+
250688320 = 2653137683
BaseRepresentation
bin11101111000100…
…11001101000000
3122110201021201121
432330103031000
51003134011240
640513042024
76132546511
oct1674231500
9573637647
10250688320
11119563933
126bb56314
133cc23aac
1425418a08
151701d04a
hexef13340

250688320 has 112 divisors (see below), whose sum is σ = 633788928. Its totient is φ = 94279680.

The previous prime is 250688311. The next prime is 250688371. The reversal of 250688320 is 23886052.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366699 + ... + 367381.

Almost surely, 2250688320 is an apocalyptic number.

250688320 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 250688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316894464).

250688320 is an abundant number, since it is smaller than the sum of its proper divisors (383100608).

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

250688320 is a wasteful number, since it uses less digits than its factorization.

250688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 250688320 is about 15833.1399286433. The cubic root of 250688320 is about 630.5381477236.

The spelling of 250688320 in words is "two hundred fifty million, six hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 62 64 74 80 124 148 155 160 185 248 296 310 320 370 496 592 620 683 740 992 1147 1184 1240 1366 1480 1984 2294 2368 2480 2732 2960 3415 4588 4960 5464 5735 5920 6830 9176 9920 10928 11470 11840 13660 18352 21173 21856 22940 25271 27320 36704 42346 43712 45880 50542 54640 73408 84692 91760 101084 105865 109280 126355 169384 183520 202168 211730 218560 252710 338768 367040 404336 423460 505420 677536 783401 808672 846920 1010840 1355072 1566802 1617344 1693840 2021680 3133604 3387680 3917005 4043360 6267208 6775360 7834010 8086720 12534416 15668020 25068832 31336040 50137664 62672080 125344160 250688320