Search a number
-
+
103220320 = 2557234007
BaseRepresentation
bin1100010011100…
…00010001100000
321012020010122211
412021300101200
5202411022240
614124211504
72362233610
oct611602140
9235203584
10103220320
11532a0a55
122a699b94
1318500518
14d9cca40
1590ddbea
hex6270460

103220320 has 96 divisors (see below), whose sum is σ = 290884608. Its totient is φ = 33842688.

The previous prime is 103220303. The next prime is 103220347. The reversal of 103220320 is 23022301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103220320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23757 + ... + 27763.

It is an arithmetic number, because the mean of its divisors is an integer number (3030048).

Almost surely, 2103220320 is an apocalyptic number.

103220320 is a gapful number since it is divisible by the number (10) 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 103220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145442304).

103220320 is an abundant number, since it is smaller than the sum of its proper divisors (187664288).

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

103220320 is a wasteful number, since it uses less digits than its factorization.

103220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 103220320 is about 10159.7401541575. The cubic root of 103220320 is about 469.0888034752.

Adding to 103220320 its reverse (23022301), we get a palindrome (126242621).

The spelling of 103220320 in words is "one hundred three million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 4007 5152 6440 8014 12880 16028 20035 25760 28049 32056 40070 56098 64112 80140 92161 112196 128224 140245 160280 184322 224392 280490 320560 368644 448784 460805 560980 641120 645127 737288 897568 921610 1121960 1290254 1474576 1843220 2243920 2580508 2949152 3225635 3686440 4487840 5161016 6451270 7372880 10322032 12902540 14745760 20644064 25805080 51610160 103220320