Search a number
-
+
250121320 = 235192341349
BaseRepresentation
bin11101110100010…
…00110001101000
3122102122110221121
432322020301220
51003012340240
640452545024
76124665451
oct1672106150
9572573847
10250121320
11119206939
126b922174
133ca859a7
142530c128
1516e5a04a
hexee88c68

250121320 has 128 divisors (see below), whose sum is σ = 635040000. Its totient is φ = 88197120.

The previous prime is 250121303. The next prime is 250121329. The reversal of 250121320 is 23121052.

It is a junction number, because it is equal to n+sod(n) for n = 250121294 and 250121303.

It is not an unprimeable number, because it can be changed into a prime (250121329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 716506 + ... + 716854.

It is an arithmetic number, because the mean of its divisors is an integer number (4961250).

Almost surely, 2250121320 is an apocalyptic number.

250121320 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 250121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520000).

250121320 is an abundant number, since it is smaller than the sum of its proper divisors (384918680).

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

250121320 is a wasteful number, since it uses less digits than its factorization.

250121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 250121320 is about 15815.2243107709. The cubic root of 250121320 is about 630.0624108827.

Adding to 250121320 its reverse (23121052), we get a palindrome (273242372).

The spelling of 250121320 in words is "two hundred fifty million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 41 46 76 82 92 95 115 152 164 184 190 205 230 328 349 380 410 437 460 698 760 779 820 874 920 943 1396 1558 1640 1745 1748 1886 2185 2792 3116 3490 3496 3772 3895 4370 4715 6232 6631 6980 7544 7790 8027 8740 9430 13262 13960 14309 15580 16054 17480 17917 18860 26524 28618 31160 32108 33155 35834 37720 40135 53048 57236 64216 66310 71545 71668 80270 89585 114472 132620 143090 143336 152513 160540 179170 265240 271871 286180 305026 321080 329107 358340 543742 572360 610052 658214 716680 762565 1087484 1220104 1316428 1359355 1525130 1645535 2174968 2632856 2718710 3050260 3291070 5437420 6100520 6253033 6582140 10874840 12506066 13164280 25012132 31265165 50024264 62530330 125060660 250121320