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244082960 = 24511614547
BaseRepresentation
bin11101000110001…
…10100100010000
3122000021200212122
432203012210100
5444441123320
640115313412
76022446062
oct1643064420
9560250778
10244082960
11115862160
12698ab868
133b7503b4
14245b9732
1516665d25
hexe8c6910

244082960 has 80 divisors (see below), whose sum is σ = 629370432. Its totient is φ = 87283200.

The previous prime is 244082959. The next prime is 244082981. The reversal of 244082960 is 69280442.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 244082960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51407 + ... + 55953.

Almost surely, 2244082960 is an apocalyptic number.

244082960 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 244082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314685216).

244082960 is an abundant number, since it is smaller than the sum of its proper divisors (385287472).

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

244082960 is a wasteful number, since it uses less digits than its factorization.

244082960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 244082960 is about 15623.1546110253. The cubic root of 244082960 is about 624.9507886586.

The spelling of 244082960 in words is "two hundred forty-four million, eighty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 976 1220 1342 2440 2684 3355 4547 4880 5368 6710 9094 10736 13420 18188 22735 26840 36376 45470 50017 53680 72752 90940 100034 181880 200068 250085 277367 363760 400136 500170 554734 800272 1000340 1109468 1386835 2000680 2218936 2773670 3051037 4001360 4437872 5547340 6102074 11094680 12204148 15255185 22189360 24408296 30510370 48816592 61020740 122041480 244082960