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126632340 = 223251961607
BaseRepresentation
bin1111000110001…
…00000110010100
322211021120220200
413203010012110
5224404213330
620322100500
73065233332
oct743040624
9284246820
10126632340
116553182a
12364aa730
13203099a3
1412b64b52
15b1b5a60
hex78c4194

126632340 has 144 divisors (see below), whose sum is σ = 411640320. Its totient is φ = 31415040.

The previous prime is 126632333. The next prime is 126632393. The reversal of 126632340 is 43236621.

126632340 is a `hidden beast` number, since 1 + 26 + 632 + 3 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208317 + ... + 208923.

Almost surely, 2126632340 is an apocalyptic number.

126632340 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 126632340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205820160).

126632340 is an abundant number, since it is smaller than the sum of its proper divisors (285007980).

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

126632340 is a wasteful number, since it uses less digits than its factorization.

126632340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 126632340 is about 11253.1035719041. The cubic root of 126632340 is about 502.1670475741.

Adding to 126632340 its reverse (43236621), we get a palindrome (169868961).

The spelling of 126632340 in words is "one hundred twenty-six million, six hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 61 76 90 95 114 122 171 180 183 190 228 244 285 305 342 366 380 549 570 607 610 684 732 855 915 1098 1140 1159 1214 1220 1710 1821 1830 2196 2318 2428 2745 3035 3420 3477 3642 3660 4636 5463 5490 5795 6070 6954 7284 9105 10431 10926 10980 11533 11590 12140 13908 17385 18210 20862 21852 23066 23180 27315 34599 34770 36420 37027 41724 46132 52155 54630 57665 69198 69540 74054 103797 104310 109260 111081 115330 138396 148108 172995 185135 207594 208620 222162 230660 333243 345990 370270 415188 444324 518985 555405 666486 691980 703513 740540 1037970 1110810 1332972 1407026 1666215 2075940 2110539 2221620 2814052 3332430 3517565 4221078 6331617 6664860 7035130 8442156 10552695 12663234 14070260 21105390 25326468 31658085 42210780 63316170 126632340