Search a number
-
+
245637120 = 213351999
BaseRepresentation
bin11101010010000…
…10000000000000
3122010012122210010
432221002000000
51000340341440
640212504520
76041611131
oct1651020000
9563178703
10245637120
11116723893
126a31b140
133bb75911
14248a1c88
1516871580
hexea42000

245637120 has 112 divisors (see below), whose sum is σ = 786384000. Its totient is φ = 65470464.

The previous prime is 245637107. The next prime is 245637121. The reversal of 245637120 is 21736542.

245637120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (245637121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121881 + ... + 123879.

Almost surely, 2245637120 is an apocalyptic number.

245637120 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 245637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393192000).

245637120 is an abundant number, since it is smaller than the sum of its proper divisors (540746880).

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

245637120 is an equidigital number, since it uses as much as digits as its factorization.

245637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 245637120 is about 15672.8146802034. The cubic root of 245637120 is about 626.2744087123.

The spelling of 245637120 in words is "two hundred forty-five million, six hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 1999 2048 2560 3072 3840 3998 4096 5120 5997 6144 7680 7996 8192 9995 10240 11994 12288 15360 15992 19990 20480 23988 24576 29985 30720 31984 39980 40960 47976 59970 61440 63968 79960 95952 119940 122880 127936 159920 191904 239880 255872 319840 383808 479760 511744 639680 767616 959520 1023488 1279360 1535232 1919040 2046976 2558720 3070464 3838080 4093952 5117440 6140928 7676160 8187904 10234880 12281856 15352320 16375808 20469760 24563712 30704640 40939520 49127424 61409280 81879040 122818560 245637120