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248207080 = 23511312587
BaseRepresentation
bin11101100101101…
…01011011101000
3122022001020002211
432302311123220
51002020111310
640343534504
76102503542
oct1662653350
9568036084
10248207080
11118119720
126b15a434
133c5655c4
1424d70692
1516bccc8a
hexecb56e8

248207080 has 96 divisors (see below), whose sum is σ = 630594720. Its totient is φ = 87196800.

The previous prime is 248207077. The next prime is 248207083. The reversal of 248207080 is 80702842.

It is an interprime number because it is at equal distance from previous prime (248207077) and next prime (248207083).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (248207083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422547 + ... + 423133.

It is an arithmetic number, because the mean of its divisors is an integer number (6568695).

Almost surely, 2248207080 is an apocalyptic number.

248207080 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 248207080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315297360).

248207080 is an abundant number, since it is smaller than the sum of its proper divisors (382387640).

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

248207080 is a wasteful number, since it uses less digits than its factorization.

248207080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 248207080 is about 15754.5891726824. The cubic root of 248207080 is about 628.4509520183.

The spelling of 248207080 in words is "two hundred forty-eight million, two hundred seven thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 587 620 682 961 1174 1240 1364 1705 1922 2348 2728 2935 3410 3844 4696 4805 5870 6457 6820 7688 9610 10571 11740 12914 13640 18197 19220 21142 23480 25828 32285 36394 38440 42284 51656 52855 64570 72788 84568 90985 105710 129140 145576 181970 200167 211420 258280 363940 400334 422840 564107 727880 800668 1000835 1128214 1601336 2001670 2256428 2820535 4003340 4512856 5641070 6205177 8006680 11282140 12410354 22564280 24820708 31025885 49641416 62051770 124103540 248207080