Search a number
-
+
250387020 = 223251328231
BaseRepresentation
bin11101110110010…
…01101001001100
3122110010222102100
432323021221030
51003044341040
640502355100
76130153212
oct1673115114
9573128370
10250387020
11119378524
126ba2ba90
133cb49900
142537acb2
1516eadb30
hexeec9a4c

250387020 has 108 divisors (see below), whose sum is σ = 822524976. Its totient is φ = 61626240.

The previous prime is 250387019. The next prime is 250387021. The reversal of 250387020 is 20783052.

250387020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (250387019) and next prime (250387021).

It is not an unprimeable number, because it can be changed into a prime (250387021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26305 + ... + 34535.

It is an arithmetic number, because the mean of its divisors is an integer number (7615972).

Almost surely, 2250387020 is an apocalyptic number.

250387020 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 250387020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411262488).

250387020 is an abundant number, since it is smaller than the sum of its proper divisors (572137956).

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

250387020 is a wasteful number, since it uses less digits than its factorization.

250387020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 250387020 is about 15823.6222149039. The cubic root of 250387020 is about 630.2854337733.

The spelling of 250387020 in words is "two hundred fifty million, three hundred eighty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 7605 8231 10140 15210 16462 24693 30420 32924 41155 49386 74079 82310 98772 107003 123465 148158 164620 214006 246930 296316 321009 370395 428012 493860 535015 642018 740790 963027 1070030 1284036 1391039 1481580 1605045 1926054 2140060 2782078 3210090 3852108 4173117 4815135 5564156 6420180 6955195 8346234 9630270 12519351 13910390 16692468 19260540 20865585 25038702 27820780 41731170 50077404 62596755 83462340 125193510 250387020