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126539028 = 2232711191239
BaseRepresentation
bin1111000101011…
…01010100010100
322211002211220200
413202231110110
5224343222103
620320100500
73064364310
oct742552424
9284084820
10126539028
1165478710
1236464730
13202a6385
1412b3cb40
15b1980a3
hex78ad514

126539028 has 144 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 32558400.

The previous prime is 126539027. The next prime is 126539029. The reversal of 126539028 is 820935621.

126539028 is a `hidden beast` number, since 1 + 265 + 390 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (126539027) and next prime (126539029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126538983 and 126539001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126539027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 529333 + ... + 529571.

It is an arithmetic number, because the mean of its divisors is an integer number (2795520).

Almost surely, 2126539028 is an apocalyptic number.

126539028 is a gapful number since it is divisible by the number (18) 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 126539028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

126539028 is an abundant number, since it is smaller than the sum of its proper divisors (276015852).

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

126539028 is a wasteful number, since it uses less digits than its factorization.

126539028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 126539028 is about 11248.9567516281. The cubic root of 126539028 is about 502.0436727559.

The spelling of 126539028 in words is "one hundred twenty-six million, five hundred thirty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 191 198 231 239 252 308 382 396 462 478 573 693 717 764 924 956 1146 1337 1386 1434 1673 1719 2101 2151 2292 2629 2674 2772 2868 3346 3438 4011 4202 4302 5019 5258 5348 6303 6692 6876 7887 8022 8404 8604 10038 10516 12033 12606 14707 15057 15774 16044 18403 18909 20076 23661 24066 25212 29414 30114 31548 36806 37818 44121 45649 47322 48132 55209 58828 60228 73612 75636 88242 91298 94644 110418 132363 136947 165627 176484 182596 220836 264726 273894 319543 331254 410841 502139 529452 547788 639086 662508 821682 958629 1004278 1278172 1506417 1643364 1917258 2008556 2875887 3012834 3514973 3834516 4519251 5751774 6025668 7029946 9038502 10544919 11503548 14059892 18077004 21089838 31634757 42179676 63269514 126539028