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248117660 = 22574334093
BaseRepresentation
bin11101100100111…
…11100110011100
3122021212200102222
432302133212130
51002004231120
640342004512
76101652050
oct1662374634
9567780388
10248117660
1111806851a
126b116738
133c5339ab
1424d49c60
1516bb1525
hexec9f99c

248117660 has 48 divisors (see below), whose sum is σ = 597003456. Its totient is φ = 84851712.

The previous prime is 248117659. The next prime is 248117663. The reversal of 248117660 is 66711842.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 248117660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248117663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58574 + ... + 62666.

It is an arithmetic number, because the mean of its divisors is an integer number (12437572).

Almost surely, 2248117660 is an apocalyptic number.

248117660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248117660 is an abundant number, since it is smaller than the sum of its proper divisors (348885796).

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

248117660 is a wasteful number, since it uses less digits than its factorization.

248117660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 248117660 is about 15751.7510137762. The cubic root of 248117660 is about 628.3754735993.

The spelling of 248117660 in words is "two hundred forty-eight million, one hundred seventeen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 433 866 1732 2165 3031 4093 4330 6062 8186 8660 12124 15155 16372 20465 28651 30310 40930 57302 60620 81860 114604 143255 286510 573020 1772269 3544538 7089076 8861345 12405883 17722690 24811766 35445380 49623532 62029415 124058830 248117660