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126979468 = 227111073853
BaseRepresentation
bin1111001000110…
…00110110001100
322211221020002021
413210120312030
5230001320333
620333335524
73101210350
oct744306614
9284836067
10126979468
1165749610
12366375a4
13203cb9a5
1412c15460
15b23382d
hex7918d8c

126979468 has 48 divisors (see below), whose sum is σ = 279707904. Its totient is φ = 48997440.

The previous prime is 126979427. The next prime is 126979469. The reversal of 126979468 is 864979621.

It is a happy number.

It is a super-2 number, since 2×1269794682 = 32247570587126048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126979469) 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 15 ways as a sum of consecutive naturals, for example, 31030 + ... + 34882.

It is an arithmetic number, because the mean of its divisors is an integer number (5827248).

Almost surely, 2126979468 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 126979468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139853952).

126979468 is an abundant number, since it is smaller than the sum of its proper divisors (152728436).

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

126979468 is a wasteful number, since it uses less digits than its factorization.

126979468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3980 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 126979468 is about 11268.5166725705. The cubic root of 126979468 is about 502.6254802432.

The spelling of 126979468 in words is "one hundred twenty-six million, nine hundred seventy-nine thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 154 214 308 428 749 1177 1498 2354 2996 3853 4708 7706 8239 15412 16478 26971 32956 42383 53942 84766 107884 169532 296681 412271 593362 824542 1186724 1649084 2885897 4534981 5771794 9069962 11543588 18139924 31744867 63489734 126979468