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10480248 = 23321947163
BaseRepresentation
bin100111111110…
…101001111000
3201201110012100
4213332221320
510140331443
61012343400
7155036442
oct47765170
921643170
1010480248
115a08a69
123614b60
13222c33c
14156b492
15dc03d3
hex9fea78

10480248 has 96 divisors (see below), whose sum is σ = 30700800. Its totient is φ = 3219264.

The previous prime is 10480243. The next prime is 10480259. The reversal of 10480248 is 84208401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10480243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64215 + ... + 64377.

It is an arithmetic number, because the mean of its divisors is an integer number (319800).

Almost surely, 210480248 is an apocalyptic number.

10480248 is a gapful number since it is divisible by the number (18) 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 10480248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350400).

10480248 is an abundant number, since it is smaller than the sum of its proper divisors (20220552).

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

10480248 is a wasteful number, since it uses less digits than its factorization.

10480248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10480248 is about 3237.3211147490. The cubic root of 10480248 is about 218.8385624530.

Adding to 10480248 its reverse (84208401), we get a palindrome (94688649).

The spelling of 10480248 in words is "ten million, four hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 47 57 72 76 94 114 141 152 163 171 188 228 282 326 342 376 423 456 489 564 652 684 846 893 978 1128 1304 1368 1467 1692 1786 1956 2679 2934 3097 3384 3572 3912 5358 5868 6194 7144 7661 8037 9291 10716 11736 12388 15322 16074 18582 21432 22983 24776 27873 30644 32148 37164 45966 55746 61288 64296 68949 74328 91932 111492 137898 145559 183864 222984 275796 291118 436677 551592 582236 873354 1164472 1310031 1746708 2620062 3493416 5240124 10480248