Search a number
-
+
10289136 = 24311131499
BaseRepresentation
bin100111001111…
…111111110000
3201100202001010
4213033333300
510113223021
61004310520
7153312324
oct47177760
921322033
1010289136
115898420
123542440
132193360
14151b984
15d83976
hex9cfff0

10289136 has 80 divisors (see below), whose sum is σ = 31248000. Its totient is φ = 2876160.

The previous prime is 10289129. The next prime is 10289141. The reversal of 10289136 is 63198201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6115 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 210289136 is an apocalyptic number.

10289136 is a gapful number since it is divisible by the number (16) 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 10289136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624000).

10289136 is an abundant number, since it is smaller than the sum of its proper divisors (20958864).

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

10289136 is a wasteful number, since it uses less digits than its factorization.

10289136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10289136 is about 3207.6683120298. The cubic root of 10289136 is about 217.5001876072.

The spelling of 10289136 in words is "ten million, two hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1499 1716 2288 2998 3432 4497 5996 6864 8994 11992 16489 17988 19487 23984 32978 35976 38974 49467 58461 65956 71952 77948 98934 116922 131912 155896 197868 214357 233844 263824 311792 395736 428714 467688 643071 791472 857428 935376 1286142 1714856 2572284 3429712 5144568 10289136