Search a number
-
+
1100425040 = 2451113432237
BaseRepresentation
bin100000110010111…
…0010011101010000
32211200122101100222
41001211302131100
54223202100130
6301105532212
736161313161
oct10145623520
92750571328
101100425040
11515185690
12268644068
13146c9c2a0
14a620d768
156691bce5
hex41972750

1100425040 has 160 divisors (see below), whose sum is σ = 3077053056. Its totient is φ = 360622080.

The previous prime is 1100425037. The next prime is 1100425043. The reversal of 1100425040 is 405240011.

It is an interprime number because it is at equal distance from previous prime (1100425037) and next prime (1100425043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100425043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490802 + ... + 493038.

Almost surely, 21100425040 is an apocalyptic number.

1100425040 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 1100425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538526528).

1100425040 is an abundant number, since it is smaller than the sum of its proper divisors (1976628016).

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

1100425040 is a wasteful number, since it uses less digits than its factorization.

1100425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1100425040 is about 33172.6550037829. The cubic root of 1100425040 is about 1032.4130560140.

Adding to 1100425040 its reverse (405240011), we get a palindrome (1505665051).

The spelling of 1100425040 in words is "one billion, one hundred million, four hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 43 44 52 55 65 80 86 88 104 110 130 143 172 176 208 215 220 260 286 344 430 440 473 520 559 572 688 715 860 880 946 1040 1118 1144 1430 1720 1892 2236 2237 2288 2365 2795 2860 3440 3784 4472 4474 4730 5590 5720 6149 7568 8944 8948 9460 11180 11185 11440 12298 17896 18920 22360 22370 24596 24607 29081 30745 35792 37840 44720 44740 49192 49214 58162 61490 89480 96191 98384 98428 116324 122980 123035 145405 178960 192382 196856 232648 245960 246070 290810 319891 384764 393712 465296 480955 491920 492140 581620 639782 769528 961910 984280 1058101 1163240 1250483 1279564 1539056 1599455 1923820 1968560 2116202 2326480 2500966 2559128 3198910 3847640 4232404 5001932 5118256 5290505 6252415 6397820 7695280 8464808 10003864 10581010 12504830 12795640 13755313 16929616 20007728 21162020 25009660 25591280 27510626 42324040 50019320 55021252 68776565 84648080 100038640 110042504 137553130 220085008 275106260 550212520 1100425040