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103320320 = 285531523
BaseRepresentation
bin1100010100010…
…00101100000000
321012102012211112
412022020230000
5202422222240
614130302452
72363131265
oct612105400
9235365745
10103320320
115335a0a4
122a727a28
1318536bac
14da1726c
15910d665
hex6288b00

103320320 has 72 divisors (see below), whose sum is σ = 252319536. Its totient is φ = 40521728.

The previous prime is 103320313. The next prime is 103320341. The reversal of 103320320 is 23023301.

It is a junction number, because it is equal to n+sod(n) for n = 103320295 and 103320304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67079 + ... + 68601.

It is an arithmetic number, because the mean of its divisors is an integer number (3504438).

Almost surely, 2103320320 is an apocalyptic number.

103320320 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 103320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126159768).

103320320 is an abundant number, since it is smaller than the sum of its proper divisors (148999216).

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

103320320 is an equidigital number, since it uses as much as digits as its factorization.

103320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 103320320 is about 10164.6603484819. The cubic root of 103320320 is about 469.2402392262.

Adding to 103320320 its reverse (23023301), we get a palindrome (126343621).

The spelling of 103320320 in words is "one hundred three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1523 1696 2120 3046 3392 4240 6092 6784 7615 8480 12184 13568 15230 16960 24368 30460 33920 48736 60920 67840 80719 97472 121840 161438 194944 243680 322876 389888 403595 487360 645752 807190 974720 1291504 1614380 1949440 2583008 3228760 5166016 6457520 10332032 12915040 20664064 25830080 51660160 103320320