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126484080 = 243517291069
BaseRepresentation
bin1111000100111…
…11111001110000
322211000001112120
413202133321300
5224334442310
620314554240
73064045152
oct742377160
9284001476
10126484080
11654403a8
1236438980
1320287368
1412b26ad2
15b186b70
hex789fe70

126484080 has 160 divisors (see below), whose sum is σ = 429883200. Its totient is φ = 30621696.

The previous prime is 126484079. The next prime is 126484133. The reversal of 126484080 is 80484621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117786 + ... + 118854.

It is an arithmetic number, because the mean of its divisors is an integer number (2686770).

Almost surely, 2126484080 is an apocalyptic number.

126484080 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 126484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214941600).

126484080 is an abundant number, since it is smaller than the sum of its proper divisors (303399120).

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

126484080 is a wasteful number, since it uses less digits than its factorization.

126484080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 126484080 is about 11246.5141266083. The cubic root of 126484080 is about 501.9709934934.

The spelling of 126484080 in words is "one hundred twenty-six million, four hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 29 30 34 40 48 51 58 60 68 80 85 87 102 116 120 136 145 170 174 204 232 240 255 272 290 340 348 408 435 464 493 510 580 680 696 816 870 986 1020 1069 1160 1360 1392 1479 1740 1972 2040 2138 2320 2465 2958 3207 3480 3944 4080 4276 4930 5345 5916 6414 6960 7395 7888 8552 9860 10690 11832 12828 14790 16035 17104 18173 19720 21380 23664 25656 29580 31001 32070 36346 39440 42760 51312 54519 59160 62002 64140 72692 85520 90865 93003 109038 118320 124004 128280 145384 155005 181730 186006 218076 248008 256560 272595 290768 310010 363460 372012 436152 465015 496016 527017 545190 620020 726920 744024 872304 930030 1054034 1090380 1240040 1453840 1488048 1581051 1860060 2108068 2180760 2480080 2635085 3162102 3720120 4216136 4361520 5270170 6324204 7440240 7905255 8432272 10540340 12648408 15810510 21080680 25296816 31621020 42161360 63242040 126484080