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126979020 = 223257179563
BaseRepresentation
bin1111001000110…
…00101111001100
322211221012110200
413210120233030
5230001312040
620333333500
73101206140
oct744305714
9284835420
10126979020
1165749243
1236637290
13203cb71c
1412c15220
15b233630
hex7918bcc

126979020 has 144 divisors (see below), whose sum is σ = 443439360. Its totient is φ = 28810368.

The previous prime is 126979019. The next prime is 126979031. The reversal of 126979020 is 20979621.

It is a super-2 number, since 2×1269790202 = 32247343040320800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225259 + ... + 225821.

It is an arithmetic number, because the mean of its divisors is an integer number (3079440).

Almost surely, 2126979020 is an apocalyptic number.

126979020 is a gapful number since it is divisible by the number (10) 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 126979020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221719680).

126979020 is an abundant number, since it is smaller than the sum of its proper divisors (316460340).

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

126979020 is a wasteful number, since it uses less digits than its factorization.

126979020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 126979020 is about 11268.4967941603. The cubic root of 126979020 is about 502.6248891333.

The spelling of 126979020 in words is "one hundred twenty-six million, nine hundred seventy-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 179 180 210 252 315 358 420 537 563 630 716 895 1074 1126 1253 1260 1611 1689 1790 2148 2252 2506 2685 2815 3222 3378 3580 3759 3941 5012 5067 5370 5630 6265 6444 6756 7518 7882 8055 8445 10134 10740 11260 11277 11823 12530 15036 15764 16110 16890 18795 19705 20268 22554 23646 25060 25335 32220 33780 35469 37590 39410 45108 47292 50670 56385 59115 70938 75180 78820 100777 101340 112770 118230 141876 177345 201554 225540 236460 302331 354690 403108 503885 604662 705439 709380 906993 1007770 1209324 1410878 1511655 1813986 2015540 2116317 2821756 3023310 3527195 3627972 4232634 4534965 6046620 6348951 7054390 8465268 9069930 10581585 12697902 14108780 18139860 21163170 25395804 31744755 42326340 63489510 126979020