Search a number
-
+
126019040 = 2557373041
BaseRepresentation
bin1111000001011…
…10010111100000
322210010102121212
413200232113200
5224230102130
620301005252
73060100310
oct740562740
9283112555
10126019040
1165152a74
1236253828
13201537a4
1412a45440
15b0e3e95
hex782e5e0

126019040 has 96 divisors (see below), whose sum is σ = 349562304. Its totient is φ = 42024960.

The previous prime is 126019037. The next prime is 126019067. The reversal of 126019040 is 40910621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 126018997 and 126019015.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39920 + ... + 42960.

It is an arithmetic number, because the mean of its divisors is an integer number (3641274).

Almost surely, 2126019040 is an apocalyptic number.

126019040 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 126019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174781152).

126019040 is an abundant number, since it is smaller than the sum of its proper divisors (223543264).

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

126019040 is a wasteful number, since it uses less digits than its factorization.

126019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 126019040 is about 11225.8202372922. The cubic root of 126019040 is about 501.3550443920.

Adding to 126019040 its reverse (40910621), we get a palindrome (166929661).

The spelling of 126019040 in words is "one hundred twenty-six million, nineteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 560 592 740 1036 1120 1184 1295 1480 2072 2590 2960 3041 4144 5180 5920 6082 8288 10360 12164 15205 20720 21287 24328 30410 41440 42574 48656 60820 85148 97312 106435 112517 121640 170296 212870 225034 243280 340592 425740 450068 486560 562585 681184 787619 851480 900136 1125170 1575238 1702960 1800272 2250340 3150476 3405920 3600544 3938095 4500680 6300952 7876190 9001360 12601904 15752380 18002720 25203808 31504760 63009520 126019040