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126708840 = 23335235101
BaseRepresentation
bin1111000110101…
…10110001101000
322211102110212000
413203112301220
5224414140330
620323451000
73066002346
oct743266150
9284373760
10126708840
1165584255
1236526a60
132033575b
1412b84996
15b1cd560
hex78d6c68

126708840 has 128 divisors (see below), whose sum is σ = 440812800. Its totient is φ = 32313600.

The previous prime is 126708809. The next prime is 126708847. The reversal of 126708840 is 48807621.

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 = 126708795 and 126708804.

It is not an unprimeable number, because it can be changed into a prime (126708847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22290 + ... + 27390.

It is an arithmetic number, because the mean of its divisors is an integer number (3443850).

Almost surely, 2126708840 is an apocalyptic number.

126708840 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 126708840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220406400).

126708840 is an abundant number, since it is smaller than the sum of its proper divisors (314103960).

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

126708840 is a wasteful number, since it uses less digits than its factorization.

126708840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 126708840 is about 11256.5021209966. The cubic root of 126708840 is about 502.2681487776.

The spelling of 126708840 in words is "one hundred twenty-six million, seven hundred eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 5101 6210 8280 10202 12420 15303 20404 24840 25505 30606 40808 45909 51010 61212 76515 91818 102020 117323 122424 137727 153030 183636 204040 229545 234646 275454 306060 351969 367272 459090 469292 550908 586615 612120 688635 703938 918180 938584 1055907 1101816 1173230 1377270 1407876 1759845 1836360 2111814 2346460 2754540 2815752 3167721 3519690 4223628 4692920 5279535 5509080 6335442 7039380 8447256 10559070 12670884 14078760 15838605 21118140 25341768 31677210 42236280 63354420 126708840