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126978984 = 233211179431
BaseRepresentation
bin1111001000110…
…00101110101000
322211221012102100
413210120232220
5230001311414
620333333400
73101206056
oct744305650
9284835370
10126978984
1165749210
1236637260
13203cb6c2
1412c151d6
15b233609
hex7918ba8

126978984 has 96 divisors (see below), whose sum is σ = 397275840. Its totient is φ = 36211200.

The previous prime is 126978979. The next prime is 126978989. The reversal of 126978984 is 489879621.

It is an interprime number because it is at equal distance from previous prime (126978979) and next prime (126978989).

It is a super-2 number, since 2×1269789842 = 32247324755344512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126978984.

It is not an unprimeable number, because it can be changed into a prime (126978989) 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 23 ways as a sum of consecutive naturals, for example, 8749 + ... + 18179.

It is an arithmetic number, because the mean of its divisors is an integer number (4138290).

Almost surely, 2126978984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126978984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198637920).

126978984 is an abundant number, since it is smaller than the sum of its proper divisors (270296856).

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

126978984 is a wasteful number, since it uses less digits than its factorization.

126978984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471 (or 9464 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 126978984 is about 11268.4951967865. The cubic root of 126978984 is about 502.6248416333.

The spelling of 126978984 in words is "one hundred twenty-six million, nine hundred seventy-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 9431 13464 18862 28293 37724 56586 75448 84879 103741 113172 160327 169758 207482 226344 311223 320654 339516 414964 480981 622446 641308 679032 829928 933669 961962 1244892 1282616 1442943 1763597 1867338 1923924 2489784 2885886 3527194 3734676 3847848 5290791 5771772 7054388 7469352 10581582 11543544 14108776 15872373 21163164 31744746 42326328 63489492 126978984