Search a number
-
+
245320040 = 23575361271
BaseRepresentation
bin11101001111101…
…00100101101000
3122002121112211102
432213310211220
51000300220130
640202020532
76036120530
oct1647644550
9562545742
10245320040
11116527639
126a1a7748
133ba944b4
142481c4c0
151680c645
hexe9f4968

245320040 has 128 divisors (see below), whose sum is σ = 655672320. Its totient is φ = 80870400.

The previous prime is 245320021. The next prime is 245320051. The reversal of 245320040 is 40023542.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 245319994 and 245320021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905105 + ... + 905375.

It is an arithmetic number, because the mean of its divisors is an integer number (5122440).

Almost surely, 2245320040 is an apocalyptic number.

245320040 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 245320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327836160).

245320040 is an abundant number, since it is smaller than the sum of its proper divisors (410352280).

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

245320040 is a wasteful number, since it uses less digits than its factorization.

245320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 245320040 is about 15662.6958088319. The cubic root of 245320040 is about 626.0048178135.

Adding to 245320040 its reverse (40023542), we get a palindrome (285343582).

The spelling of 245320040 in words is "two hundred forty-five million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 61 70 106 122 140 212 244 265 271 280 305 371 424 427 488 530 542 610 742 854 1060 1084 1220 1355 1484 1708 1855 1897 2120 2135 2168 2440 2710 2968 3233 3416 3710 3794 4270 5420 6466 7420 7588 8540 9485 10840 12932 14363 14840 15176 16165 16531 17080 18970 22631 25864 28726 32330 33062 37940 45262 57452 64660 66124 71815 75880 82655 90524 100541 113155 114904 115717 129320 132248 143630 165310 181048 201082 226310 231434 287260 330620 402164 452620 462868 502705 574520 578585 661240 804328 876143 905240 925736 1005410 1157170 1752286 2010820 2314340 3504572 4021640 4380715 4628680 6133001 7009144 8761430 12266002 17522860 24532004 30665005 35045720 49064008 61330010 122660020 245320040