Search a number
-
+
244059760 = 2457974493
BaseRepresentation
bin11101000110000…
…00111001110000
3122000020112001101
432203000321300
5444434403020
640115014144
76022321330
oct1643007160
9560215041
10244059760
1111584678a
126989a354
133b742979
14245b10c0
151665e00a
hexe8c0e70

244059760 has 80 divisors (see below), whose sum is σ = 655333056. Its totient is φ = 82796544.

The previous prime is 244059743. The next prime is 244059763. The reversal of 244059760 is 67950442.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244059763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52074 + ... + 56566.

Almost surely, 2244059760 is an apocalyptic number.

244059760 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 244059760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327666528).

244059760 is an abundant number, since it is smaller than the sum of its proper divisors (411273296).

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

244059760 is a wasteful number, since it uses less digits than its factorization.

244059760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 244059760 is about 15622.4121056897. The cubic root of 244059760 is about 624.9309875799.

The spelling of 244059760 in words is "two hundred forty-four million, fifty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 280 388 485 560 679 776 970 1358 1552 1940 2716 3395 3880 4493 5432 6790 7760 8986 10864 13580 17972 22465 27160 31451 35944 44930 54320 62902 71888 89860 125804 157255 179720 251608 314510 359440 435821 503216 629020 871642 1258040 1743284 2179105 2516080 3050747 3486568 4358210 6101494 6973136 8716420 12202988 15253735 17432840 24405976 30507470 34865680 48811952 61014940 122029880 244059760