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126267330 = 235717113313
BaseRepresentation
bin1111000011010…
…10111111000010
322210121001012210
413201222333002
5224311023310
620310202550
73062153220
oct741527702
9283531183
10126267330
1165302572
1236353456
132020c7c7
1412aabb10
15b142820
hex786afc2

126267330 has 128 divisors (see below), whose sum is σ = 371132928. Its totient is φ = 26836992.

The previous prime is 126267311. The next prime is 126267341. The reversal of 126267330 is 33762621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403254 + ... + 403566.

It is an arithmetic number, because the mean of its divisors is an integer number (2899476).

Almost surely, 2126267330 is an apocalyptic number.

126267330 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 126267330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185566464).

126267330 is an abundant number, since it is smaller than the sum of its proper divisors (244865598).

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

126267330 is a wasteful number, since it uses less digits than its factorization.

126267330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 126267330 is about 11236.8736755380. The cubic root of 126267330 is about 501.6840946155.

The spelling of 126267330 in words is "one hundred twenty-six million, two hundred sixty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 113 119 170 210 226 238 255 313 339 357 510 565 595 626 678 714 791 939 1130 1190 1565 1582 1695 1785 1878 1921 2191 2373 3130 3390 3570 3842 3955 4382 4695 4746 5321 5763 6573 7910 9390 9605 10642 10955 11526 11865 13146 13447 15963 19210 21910 23730 26605 26894 28815 31926 32865 35369 37247 40341 53210 57630 65730 67235 70738 74494 79815 80682 106107 111741 134470 159630 176845 186235 201705 212214 223482 247583 353690 372470 403410 495166 530535 558705 601273 742749 1061070 1117410 1202546 1237915 1485498 1803819 2475830 3006365 3607638 3713745 4208911 6012730 7427490 8417822 9019095 12626733 18038190 21044555 25253466 42089110 63133665 126267330