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126297990 = 232572132203
BaseRepresentation
bin1111000011100…
…10011110000110
322210122121021100
413201302132012
5224313013430
620311000530
73062341500
oct741623606
9283577240
10126297990
1165323605
1236369146
1320220750
1412ab8d70
15b14b960
hex7872786

126297990 has 144 divisors (see below), whose sum is σ = 411557328. Its totient is φ = 26635392.

The previous prime is 126297989. The next prime is 126298001. The reversal of 126297990 is 99792621.

126297990 is a `hidden beast` number, since 12 + 629 + 7 + 9 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 56229 + ... + 58431.

It is an arithmetic number, because the mean of its divisors is an integer number (2858037).

Almost surely, 2126297990 is an apocalyptic number.

126297990 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 126297990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205778664).

126297990 is an abundant number, since it is smaller than the sum of its proper divisors (285259338).

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

126297990 is a wasteful number, since it uses less digits than its factorization.

126297990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 126297990 is about 11238.2378511936. The cubic root of 126297990 is about 501.7246973312.

It can be divided in two parts, 126 and 297990, that added together give a square (298116 = 5462).

The spelling of 126297990 in words is "one hundred twenty-six million, two hundred ninety-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2203 2205 2730 3185 3822 4095 4406 4410 5733 6370 6609 8190 9555 11015 11466 13218 15421 19110 19827 22030 28639 28665 30842 33045 39654 46263 57278 57330 66090 77105 85917 92526 99135 107947 138789 143195 154210 171834 198270 200473 215894 231315 257751 277578 286390 323841 400946 429585 462630 515502 539735 601419 647682 693945 859170 971523 1002365 1079470 1202838 1288755 1387890 1403311 1619205 1804257 1943046 2004730 2577510 2806622 3007095 3238410 3608514 4209933 4857615 6014190 7016555 8419866 9021285 9715230 12629799 14033110 18042570 21049665 25259598 42099330 63148995 126297990