Search a number
-
+
10120848 = 2431779157
BaseRepresentation
bin100110100110…
…111010010000
3201001012012020
4212212322100
510042331343
61000531440
7152011563
oct46467220
921035166
1010120848
115792a41
123480b80
13213488a
1414b64da
15d4db83
hex9a6e90

10120848 has 80 divisors (see below), whose sum is σ = 28212480. Its totient is φ = 3115008.

The previous prime is 10120843. The next prime is 10120921. The reversal of 10120848 is 84802101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10120841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64386 + ... + 64542.

It is an arithmetic number, because the mean of its divisors is an integer number (352656).

Almost surely, 210120848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106240).

10120848 is an abundant number, since it is smaller than the sum of its proper divisors (18091632).

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

10120848 is a wasteful number, since it uses less digits than its factorization.

10120848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 10120848 is about 3181.3280245834. The cubic root of 10120848 is about 216.3078600452.

Adding to 10120848 its reverse (84802101), we get a palindrome (94922949).

The spelling of 10120848 in words is "ten million, one hundred twenty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 79 102 136 157 158 204 237 272 314 316 408 471 474 628 632 816 942 948 1256 1264 1343 1884 1896 2512 2669 2686 3768 3792 4029 5338 5372 7536 8007 8058 10676 10744 12403 16014 16116 21352 21488 24806 32028 32232 37209 42704 49612 64056 64464 74418 99224 128112 148836 198448 210851 297672 421702 595344 632553 843404 1265106 1686808 2530212 3373616 5060424 10120848