Search a number
-
+
2040451380 = 22325118911579
BaseRepresentation
bin111100110011110…
…1101000100110100
312021012110200002100
41321213231010310
513134323421010
6534245542100
7101364356562
oct17147550464
95235420070
102040451380
11957866360
1248b414930
1326696b4a6
14154dc8a32
15be2032c0
hex799ed134

2040451380 has 144 divisors (see below), whose sum is σ = 6828494400. Its totient is φ = 489054720.

The previous prime is 2040451331. The next prime is 2040451381. The reversal of 2040451380 is 831540402.

2040451380 is a `hidden beast` number, since 204 + 0 + 451 + 3 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040451381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170431 + ... + 182009.

It is an arithmetic number, because the mean of its divisors is an integer number (47420100).

Almost surely, 22040451380 is an apocalyptic number.

2040451380 is a gapful number since it is divisible by the number (20) 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 2040451380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414247200).

2040451380 is an abundant number, since it is smaller than the sum of its proper divisors (4788043020).

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

2040451380 is a wasteful number, since it uses less digits than its factorization.

2040451380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11694 (or 11689 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2040451380 is about 45171.3557467562. The cubic root of 2040451380 is about 1268.3586749499.

Adding to 2040451380 its reverse (831540402), we get a palindrome (2871991782).

The spelling of 2040451380 in words is "two billion, forty million, four hundred fifty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 89 90 99 110 132 165 178 180 198 220 267 330 356 396 445 495 534 660 801 890 979 990 1068 1335 1602 1780 1958 1980 2670 2937 3204 3916 4005 4895 5340 5874 8010 8811 9790 11579 11748 14685 16020 17622 19580 23158 29370 34737 35244 44055 46316 57895 58740 69474 88110 104211 115790 127369 138948 173685 176220 208422 231580 254738 347370 382107 416844 509476 521055 636845 694740 764214 1030531 1042110 1146321 1273690 1528428 1910535 2061062 2084220 2292642 2547380 3091593 3821070 4122124 4585284 5152655 5731605 6183186 7642140 9274779 10305310 11335841 11463210 12366372 15457965 18549558 20610620 22671682 22926420 30915930 34007523 37099116 45343364 46373895 56679205 61831860 68015046 92747790 102022569 113358410 136030092 170037615 185495580 204045138 226716820 340075230 408090276 510112845 680150460 1020225690 2040451380