[go: up one dir, main page]

Search a number
-
+
10401144 = 23313173753
BaseRepresentation
bin100111101011…
…010101111000
3201120102200120
4213223111320
510130314034
61010533240
7154260015
oct47532570
921512616
1010401144
115964596
123597220
132202330
14154a70c
15da6c49
hex9eb578

10401144 has 128 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 2875392.

The previous prime is 10401137. The next prime is 10401187. The reversal of 10401144 is 44110401.

10401144 is a modest number, since divided by 1144 gives 1040 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196222 + ... + 196274.

Almost surely, 210401144 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 10401144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

10401144 is an abundant number, since it is smaller than the sum of its proper divisors (20625096).

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

10401144 is a wasteful number, since it uses less digits than its factorization.

10401144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10401144 is about 3225.0804641125. The cubic root of 10401144 is about 218.2865798666.

Adding to 10401144 its reverse (44110401), we get a palindrome (54511545).

The spelling of 10401144 in words is "ten million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 37 39 51 52 53 68 74 78 102 104 106 111 136 148 156 159 204 212 221 222 296 312 318 408 424 442 444 481 629 636 663 689 884 888 901 962 1258 1272 1326 1378 1443 1768 1802 1887 1924 1961 2067 2516 2652 2703 2756 2886 3604 3774 3848 3922 4134 5032 5304 5406 5512 5772 5883 7208 7548 7844 8177 8268 10812 11544 11713 11766 15096 15688 16354 16536 21624 23426 23532 24531 25493 32708 33337 35139 46852 47064 49062 50986 65416 66674 70278 76479 93704 98124 100011 101972 133348 140556 152958 196248 200022 203944 266696 281112 305916 400044 433381 611832 800088 866762 1300143 1733524 2600286 3467048 5200572 10401144