Search a number
-
+
244148560 = 24517315791
BaseRepresentation
bin11101000110101…
…10100101010000
3122000102000212021
432203112211100
51000000223220
640120541224
76023141245
oct1643264520
9560360767
10244148560
111158a7477
1269921814
133b774206
14245d55cc
151667a4aa
hexe8d6950

244148560 has 80 divisors (see below), whose sum is σ = 620531712. Its totient is φ = 88934400.

The previous prime is 244148551. The next prime is 244148561. The reversal of 244148560 is 65841442.

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

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244148561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39265 + ... + 45055.

Almost surely, 2244148560 is an apocalyptic number.

244148560 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 244148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310265856).

244148560 is an abundant number, since it is smaller than the sum of its proper divisors (376383152).

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

244148560 is a wasteful number, since it uses less digits than its factorization.

244148560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 244148560 is about 15625.2539179368. The cubic root of 244148560 is about 625.0067711266.

The spelling of 244148560 in words is "two hundred forty-four million, one hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 4216 5270 5791 8432 10540 11582 21080 23164 28955 42160 46328 57910 92656 98447 115820 179521 196894 231640 359042 393788 463280 492235 718084 787576 897605 984470 1436168 1575152 1795210 1968940 2872336 3051857 3590420 3937880 6103714 7180840 7875760 12207428 14361680 15259285 24414856 30518570 48829712 61037140 122074280 244148560