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1305032220 = 2232524772927
BaseRepresentation
bin100110111001001…
…0011011000011100
310100221122111122200
41031302103120130
510133042012340
6333255211500
744224406442
oct11562233034
93327574580
101305032220
1160a725028
12305076b90
1317a4aa61b
14c5470b92
1579886330
hex4dc9361c

1305032220 has 72 divisors (see below), whose sum is σ = 3961548864. Its totient is φ = 347749248.

The previous prime is 1305032191. The next prime is 1305032237. The reversal of 1305032220 is 222305031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1305032193 and 1305032202.

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, 444397 + ... + 447323.

It is an arithmetic number, because the mean of its divisors is an integer number (55021512).

Almost surely, 21305032220 is an apocalyptic number.

1305032220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305032220 is an abundant number, since it is smaller than the sum of its proper divisors (2656516644).

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

1305032220 is a wasteful number, since it uses less digits than its factorization.

1305032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1305032220 is about 36125.2296878511. The cubic root of 1305032220 is about 1092.7993081201.

Adding to 1305032220 its reverse (222305031), we get a palindrome (1527337251).

The spelling of 1305032220 in words is "one billion, three hundred five million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2477 2927 4954 5854 7431 8781 9908 11708 12385 14635 14862 17562 22293 24770 26343 29270 29724 35124 37155 43905 44586 49540 52686 58540 74310 87810 89172 105372 111465 131715 148620 175620 222930 263430 445860 526860 7250179 14500358 21750537 29000716 36250895 43501074 65251611 72501790 87002148 108752685 130503222 145003580 217505370 261006444 326258055 435010740 652516110 1305032220