[go: up one dir, main page]

Search a number
-
+
10102488 = 23311172251
BaseRepresentation
bin100110100010…
…011011011000
3201000021000020
4212202123120
510041234423
61000310440
7151604214
oct46423330
921007006
1010102488
115780170
123472420
132129406
1414ad944
15d484e3
hex9a26d8

10102488 has 64 divisors (see below), whose sum is σ = 29185920. Its totient is φ = 2880000.

The previous prime is 10102481. The next prime is 10102493. The reversal of 10102488 is 88420101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102481) 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, 3363 + ... + 5613.

It is an arithmetic number, because the mean of its divisors is an integer number (456030).

Almost surely, 210102488 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 10102488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14592960).

10102488 is an abundant number, since it is smaller than the sum of its proper divisors (19083432).

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

10102488 is a wasteful number, since it uses less digits than its factorization.

10102488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2284 counting only the distinct ones).

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

The square root of 10102488 is about 3178.4411273453. The cubic root of 10102488 is about 216.1769811499.

Adding to 10102488 its reverse (88420101), we get a palindrome (98522589).

The spelling of 10102488 in words is "ten million, one hundred two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 2251 4488 4502 6753 9004 13506 18008 24761 27012 38267 49522 54024 74283 76534 99044 114801 148566 153068 198088 229602 297132 306136 420937 459204 594264 841874 918408 1262811 1683748 2525622 3367496 5051244 10102488