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126671952 = 243113171109
BaseRepresentation
bin1111000110011…
…01110001010000
322211100121020210
413203031301100
5224412000302
620323004120
73065456661
oct743156120
9284317223
10126671952
1165559570
1236509640
1320321a24
1412b75368
15b1c266c
hex78cdc50

126671952 has 160 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 36288000.

The previous prime is 126671939. The next prime is 126671969. The reversal of 126671952 is 259176621.

It is a self number, because there is not a number n which added to its sum of digits gives 126671952.

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 31 ways as a sum of consecutive naturals, for example, 1162074 + ... + 1162182.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2126671952 is an apocalyptic number.

126671952 is a gapful number since it is divisible by the number (12) 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 126671952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

126671952 is an abundant number, since it is smaller than the sum of its proper divisors (250446768).

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

126671952 is a wasteful number, since it uses less digits than its factorization.

126671952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 126671952 is about 11254.8634820685. The cubic root of 126671952 is about 502.2194032554.

The spelling of 126671952 in words is "one hundred twenty-six million, six hundred seventy-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 71 88 93 109 124 132 142 176 186 213 218 248 264 284 327 341 372 426 436 496 528 568 654 682 744 781 852 872 1023 1136 1199 1308 1364 1488 1562 1704 1744 2046 2201 2343 2398 2616 2728 3124 3379 3408 3597 4092 4402 4686 4796 5232 5456 6248 6603 6758 7194 7739 8184 8804 9372 9592 10137 12496 13206 13516 14388 15478 16368 17608 18744 19184 20274 23217 24211 26412 27032 28776 30956 35216 37169 37488 40548 46434 48422 52824 54064 57552 61912 72633 74338 81096 85129 92868 96844 105648 111507 123824 145266 148676 162192 170258 185736 193688 223014 239909 255387 290532 297352 340516 371472 387376 446028 479818 510774 581064 594704 681032 719727 892056 959636 1021548 1162128 1362064 1439454 1784112 1919272 2043096 2638999 2878908 3838544 4086192 5277998 5757816 7916997 10555996 11515632 15833994 21111992 31667988 42223984 63335976 126671952