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103204480 = 27547273
BaseRepresentation
bin1100010011011…
…00011010000000
321012012022221011
412021230122000
5202410020410
614124010304
72362136461
oct611543200
9235168834
10103204480
1153290065
122a690994
13184c6252
14d9c6d68
1590d918a
hex626c680

103204480 has 96 divisors (see below), whose sum is σ = 255537540. Its totient is φ = 39849984.

The previous prime is 103204477. The next prime is 103204481. The reversal of 103204480 is 84402301.

It can be written as a sum of positive squares in 2 ways, for example, as 103063104 + 141376 = 10152^2 + 376^2 .

It is not an unprimeable number, because it can be changed into a prime (103204481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413724 + ... + 1413796.

Almost surely, 2103204480 is an apocalyptic number.

103204480 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 103204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127768770).

103204480 is an abundant number, since it is smaller than the sum of its proper divisors (152333060).

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

103204480 is an frugal number, since it uses more digits than its factorization.

103204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 103204480 is about 10158.9605767519. The cubic root of 103204480 is about 469.0648070800.

Adding to 103204480 its reverse (84402301), we get a palindrome (187606781).

It can be divided in two parts, 103204 and 480, that added together give a square (103684 = 3222).

The spelling of 103204480 in words is "one hundred three million, two hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 73 80 94 128 146 160 188 235 292 320 365 376 470 584 640 730 752 940 1168 1460 1504 1880 2209 2336 2920 3008 3431 3760 4418 4672 5840 6016 6862 7520 8836 9344 11045 11680 13724 15040 17155 17672 22090 23360 27448 30080 34310 35344 44180 46720 54896 68620 70688 88360 109792 137240 141376 161257 176720 219584 274480 282752 322514 353440 439168 548960 645028 706880 806285 1097920 1290056 1413760 1612570 2195840 2580112 3225140 5160224 6450280 10320448 12900560 20640896 25801120 51602240 103204480