Search a number
-
+
248025720 = 23354371677
BaseRepresentation
bin11101100100010…
…01001001111000
3122021201000022210
432302021021320
51001443310340
640340015120
76101120025
oct1662111170
9567630283
10248025720
11118005438
126b0914a0
133c500ba7
1424d2454c
1516b94180
hexec89278

248025720 has 128 divisors (see below), whose sum is σ = 773245440. Its totient is φ = 63598080.

The previous prime is 248025707. The next prime is 248025727. The reversal of 248025720 is 27520842.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248025727) 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, 366022 + ... + 366698.

It is an arithmetic number, because the mean of its divisors is an integer number (6040980).

Almost surely, 2248025720 is an apocalyptic number.

248025720 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 248025720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386622720).

248025720 is an abundant number, since it is smaller than the sum of its proper divisors (525219720).

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

248025720 is a wasteful number, since it uses less digits than its factorization.

248025720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 248025720 is about 15748.8323376687. The cubic root of 248025720 is about 628.2978491658.

The spelling of 248025720 in words is "two hundred forty-eight million, twenty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 71 86 120 129 142 172 213 215 258 284 344 355 426 430 516 568 645 677 710 852 860 1032 1065 1290 1354 1420 1704 1720 2031 2130 2580 2708 2840 3053 3385 4062 4260 5160 5416 6106 6770 8124 8520 9159 10155 12212 13540 15265 16248 18318 20310 24424 27080 29111 30530 36636 40620 45795 48067 58222 61060 73272 81240 87333 91590 96134 116444 122120 144201 145555 174666 183180 192268 232888 240335 288402 291110 349332 366360 384536 436665 480670 576804 582220 698664 721005 873330 961340 1153608 1164440 1442010 1746660 1922680 2066881 2884020 3493320 4133762 5768040 6200643 8267524 10334405 12401286 16535048 20668810 24802572 31003215 41337620 49605144 62006430 82675240 124012860 248025720