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103204320 = 25352111019
BaseRepresentation
bin1100010011011…
…00010111100000
321012012022201020
412021230113200
5202410014240
614124005440
72362136142
oct611542740
9235168636
10103204320
115328aa2a
122a690880
13184c615b
14d9c6c92
1590d90d0
hex626c5e0

103204320 has 96 divisors (see below), whose sum is σ = 326954880. Its totient is φ = 27363840.

The previous prime is 103204319. The next prime is 103204337. The reversal of 103204320 is 23402301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1032043202 = 21302263333324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103204320.

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, 100771 + ... + 101789.

It is an arithmetic number, because the mean of its divisors is an integer number (3405780).

Almost surely, 2103204320 is an apocalyptic number.

103204320 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 103204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163477440).

103204320 is an abundant number, since it is smaller than the sum of its proper divisors (223750560).

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

103204320 is a wasteful number, since it uses less digits than its factorization.

103204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 103204320 is about 10158.9527019275. The cubic root of 103204320 is about 469.0645646797.

Adding to 103204320 its reverse (23402301), we get a palindrome (126606621).

The spelling of 103204320 in words is "one hundred three million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 211 240 422 480 633 844 1019 1055 1266 1688 2038 2110 2532 3057 3165 3376 4076 4220 5064 5095 6114 6330 6752 8152 8440 10128 10190 12228 12660 15285 16304 16880 20256 20380 24456 25320 30570 32608 33760 40760 48912 50640 61140 81520 97824 101280 122280 163040 215009 244560 430018 489120 645027 860036 1075045 1290054 1720072 2150090 2580108 3225135 3440144 4300180 5160216 6450270 6880288 8600360 10320432 12900540 17200720 20640864 25801080 34401440 51602160 103204320