[go: up one dir, main page]

Search a number
-
+
10803408 = 2437113779
BaseRepresentation
bin101001001101…
…100011010000
3202022212111020
4221031203100
510231202113
61023315440
7160553550
oct51154320
922285436
1010803408
116109840
12374bb80
132313465
141613160
15e36023
hexa4d8d0

10803408 has 160 divisors (see below), whose sum is σ = 36188160. Its totient is φ = 2695680.

The previous prime is 10803391. The next prime is 10803413. The reversal of 10803408 is 80430801.

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

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, 136713 + ... + 136791.

It is an arithmetic number, because the mean of its divisors is an integer number (226176).

Almost surely, 210803408 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 10803408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094080).

10803408 is an abundant number, since it is smaller than the sum of its proper divisors (25384752).

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

10803408 is a wasteful number, since it uses less digits than its factorization.

10803408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10803408 is about 3286.8538148205. The cubic root of 10803408 is about 221.0651378054.

It can be divided in two parts, 10803 and 408, that added together give a palindrome (11211).

The spelling of 10803408 in words is "ten million, eight hundred three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 79 84 88 111 112 132 148 154 158 168 176 222 231 237 259 264 296 308 316 336 407 444 462 474 518 528 553 592 616 632 777 814 869 888 924 948 1036 1106 1221 1232 1264 1554 1628 1659 1738 1776 1848 1896 2072 2212 2442 2607 2849 2923 3108 3256 3318 3476 3696 3792 4144 4424 4884 5214 5698 5846 6083 6216 6512 6636 6952 8547 8769 8848 9768 10428 11396 11692 12166 12432 13272 13904 17094 17538 18249 19536 20461 20856 22792 23384 24332 26544 32153 34188 35076 36498 40922 41712 45584 46768 48664 61383 64306 68376 70152 72996 81844 96459 97328 122766 128612 136752 140304 145992 163688 192918 225071 245532 257224 291984 327376 385836 450142 491064 514448 675213 771672 900284 982128 1350426 1543344 1800568 2700852 3601136 5401704 10803408