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126030450 = 235272131319
BaseRepresentation
bin1111000001100…
…01001001110010
322210011000021110
413200301021302
5224230433300
620301134150
73060145500
oct740611162
9283130243
10126030450
11651605a7
123625a356
1320158a40
1412a49670
15b0e7550
hex7831272

126030450 has 144 divisors (see below), whose sum is σ = 391849920. Its totient is φ = 26570880.

The previous prime is 126030427. The next prime is 126030461. The reversal of 126030450 is 54030621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94891 + ... + 96209.

It is an arithmetic number, because the mean of its divisors is an integer number (2721180).

Almost surely, 2126030450 is an apocalyptic number.

126030450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126030450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

126030450 is an abundant number, since it is smaller than the sum of its proper divisors (265819470).

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

126030450 is a wasteful number, since it uses less digits than its factorization.

126030450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 126030450 is about 11226.3284291882. The cubic root of 126030450 is about 501.3701751437.

The spelling of 126030450 in words is "one hundred twenty-six million, thirty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 49 50 65 70 75 78 91 98 105 130 147 150 175 182 195 210 245 273 294 325 350 390 455 490 525 546 637 650 735 910 975 1050 1225 1274 1319 1365 1470 1911 1950 2275 2450 2638 2730 3185 3675 3822 3957 4550 6370 6595 6825 7350 7914 9233 9555 13190 13650 15925 17147 18466 19110 19785 27699 31850 32975 34294 39570 46165 47775 51441 55398 64631 65950 85735 92330 95550 98925 102882 120029 129262 138495 171470 193893 197850 230825 240058 257205 276990 323155 360087 387786 428675 461650 514410 600145 646310 692475 720174 840203 857350 969465 1200290 1286025 1384950 1615775 1680406 1800435 1938930 2520609 2572050 3000725 3231550 3600870 4201015 4847325 5041218 6001450 8402030 9002175 9694650 12603045 18004350 21005075 25206090 42010150 63015225 126030450