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248330680 = 235133712907
BaseRepresentation
bin11101100110100…
…11100110111000
3122022021111122121
432303103212320
51002033040210
640350331024
76103530103
oct1663234670
9568244577
10248330680
111181a3574
126b1b9a74
133c5a9940
1424da373a
1516c046da
hexecd39b8

248330680 has 64 divisors (see below), whose sum is σ = 618035040. Its totient is φ = 89206272.

The previous prime is 248330671. The next prime is 248330699. The reversal of 248330680 is 86033842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12787 + ... + 25693.

Almost surely, 2248330680 is an apocalyptic number.

248330680 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 248330680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309017520).

248330680 is an abundant number, since it is smaller than the sum of its proper divisors (369704360).

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

248330680 is a wasteful number, since it uses less digits than its factorization.

248330680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12968 (or 12964 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 248330680 is about 15758.5113510128. The cubic root of 248330680 is about 628.5552515514. Note that the first 3 decimals are identical.

The spelling of 248330680 in words is "two hundred forty-eight million, three hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 12907 19240 25814 51628 64535 103256 129070 167791 258140 335582 477559 516280 671164 838955 955118 1342328 1677910 1910236 2387795 3355820 3820472 4775590 6208267 6711640 9551180 12416534 19102360 24833068 31041335 49666136 62082670 124165340 248330680