Search a number
-
+
10590468 = 223733183
BaseRepresentation
bin101000011001…
…100100000100
3201221001101120
4220121210010
510202343333
61014553540
7156006000
oct50314404
921831346
1010590468
115a83859
1236688b0
13226a565
141599700
15de2db3
hexa19904

10590468 has 96 divisors (see below), whose sum is σ = 30105600. Its totient is φ = 2892960.

The previous prime is 10590449. The next prime is 10590469. The reversal of 10590468 is 86409501.

It is a super-2 number, since 2×105904682 = 224316024918048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10590469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127555 + ... + 127637.

It is an arithmetic number, because the mean of its divisors is an integer number (313600).

Almost surely, 210590468 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 10590468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052800).

10590468 is an abundant number, since it is smaller than the sum of its proper divisors (19515132).

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

10590468 is a wasteful number, since it uses less digits than its factorization.

10590468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10590468 is about 3254.2999247150. The cubic root of 10590468 is about 219.6030583414.

Adding to 10590468 its reverse (86409501), we get a palindrome (96999969).

The spelling of 10590468 in words is "ten million, five hundred ninety thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 83 84 93 98 124 147 166 186 196 217 249 294 332 343 372 434 498 581 588 651 686 868 996 1029 1162 1302 1372 1519 1743 2058 2324 2573 2604 3038 3486 4067 4116 4557 5146 6076 6972 7719 8134 9114 10292 10633 12201 15438 16268 18011 18228 21266 24402 28469 30876 31899 36022 42532 48804 54033 56938 63798 72044 85407 108066 113876 126077 127596 170814 216132 252154 341628 378231 504308 756462 882539 1512924 1765078 2647617 3530156 5295234 10590468