Search a number
-
+
10445040 = 2432589163
BaseRepresentation
bin100111110110…
…000011110000
3201122122220100
4213312003300
510133220130
61011512400
7154532004
oct47660360
921578810
1010445040
115994571
1235b8700
1322192c8
14155c704
15db4c60
hex9f60f0

10445040 has 120 divisors (see below), whose sum is σ = 35689680. Its totient is φ = 2737152.

The previous prime is 10445033. The next prime is 10445069. The reversal of 10445040 is 4054401.

10445040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63999 + ... + 64161.

It is an arithmetic number, because the mean of its divisors is an integer number (297414).

Almost surely, 210445040 is an apocalyptic number.

10445040 is a gapful number since it is divisible by the number (10) 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 10445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17844840).

10445040 is an abundant number, since it is smaller than the sum of its proper divisors (25244640).

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

10445040 is a wasteful number, since it uses less digits than its factorization.

10445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10445040 is about 3231.8787105954. The cubic root of 10445040 is about 218.5932275360.

Adding to 10445040 its reverse (4054401), we get a palindrome (14499441).

It can be divided in two parts, 1044 and 5040, that added together give a square (6084 = 782).

The spelling of 10445040 in words is "ten million, four hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 163 178 180 240 267 326 356 360 445 489 534 652 712 720 801 815 890 978 1068 1304 1335 1424 1467 1602 1630 1780 1956 2136 2445 2608 2670 2934 3204 3260 3560 3912 4005 4272 4890 5340 5868 6408 6520 7120 7335 7824 8010 9780 10680 11736 12816 13040 14507 14670 16020 19560 21360 23472 29014 29340 32040 39120 43521 58028 58680 64080 72535 87042 116056 117360 130563 145070 174084 217605 232112 261126 290140 348168 435210 522252 580280 652815 696336 870420 1044504 1160560 1305630 1740840 2089008 2611260 3481680 5222520 10445040