Search a number
-
+
245141400 = 23352758367
BaseRepresentation
bin11101001110010…
…00111110011000
3122002021110210010
432213020332120
51000224011100
640154121520
76034444650
oct1647107630
9562243703
10245141400
111164153a9
126a1202a0
133ba310aa
14247b3360
15167c4750
hexe9c8f98

245141400 has 96 divisors (see below), whose sum is σ = 868515840. Its totient is φ = 56031360.

The previous prime is 245141381. The next prime is 245141417. The reversal of 245141400 is 4141542.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24984 + ... + 33383.

It is an arithmetic number, because the mean of its divisors is an integer number (9047040).

Almost surely, 2245141400 is an apocalyptic number.

245141400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245141400 is an abundant number, since it is smaller than the sum of its proper divisors (623374440).

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

245141400 is a wasteful number, since it uses less digits than its factorization.

245141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58393 (or 58384 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 245141400 is about 15656.9920482831. The cubic root of 245141400 is about 625.8528304258.

Adding to 245141400 its reverse (4141542), we get a palindrome (249282942).

The spelling of 245141400 in words is "two hundred forty-five million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 58367 116734 175101 233468 291835 350202 408569 466936 583670 700404 817138 875505 1167340 1225707 1400808 1459175 1634276 1751010 2042845 2334680 2451414 2918350 3268552 3502020 4085690 4377525 4902828 5836700 6128535 7004040 8171380 8755050 9805656 10214225 11673400 12257070 16342760 17510100 20428450 24514140 30642675 35020200 40856900 49028280 61285350 81713800 122570700 245141400