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126956550 = 23527223751
BaseRepresentation
bin1111001000100…
…11010000000110
322211220001122110
413210103100012
5230000102200
620333041450
73101053500
oct744232006
9284801573
10126956550
1165733376
1236626286
13203c1426
1412c0ad70
15b22bb50
hex7913406

126956550 has 144 divisors (see below), whose sum is σ = 382689792. Its totient is φ = 27720000.

The previous prime is 126956539. The next prime is 126956567. The reversal of 126956550 is 55659621.

It is a super-2 number, since 2×1269565502 = 32235931175805000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126956499 and 126956508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168675 + ... + 169425.

It is an arithmetic number, because the mean of its divisors is an integer number (2657568).

Almost surely, 2126956550 is an apocalyptic number.

126956550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126956550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191344896).

126956550 is an abundant number, since it is smaller than the sum of its proper divisors (255733242).

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

126956550 is a wasteful number, since it uses less digits than its factorization.

126956550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 126956550 is about 11267.4997226536. The cubic root of 126956550 is about 502.5952394911.

The spelling of 126956550 in words is "one hundred twenty-six million, nine hundred fifty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 49 50 69 70 75 98 105 115 138 147 150 161 175 210 230 245 294 322 345 350 483 490 525 575 690 735 751 805 966 1050 1127 1150 1225 1470 1502 1610 1725 2253 2254 2415 2450 3381 3450 3675 3755 4025 4506 4830 5257 5635 6762 7350 7510 8050 10514 11265 11270 12075 15771 16905 17273 18775 22530 24150 26285 28175 31542 33810 34546 36799 37550 51819 52570 56325 56350 73598 78855 84525 86365 103638 110397 112650 120911 131425 157710 169050 172730 183995 220794 241822 259095 262850 362733 367990 394275 431825 518190 551985 604555 725466 788550 846377 863650 919975 1103970 1209110 1295475 1692754 1813665 1839950 2539131 2590950 2759925 3022775 3627330 4231885 5078262 5519850 6045550 8463770 9068325 12695655 18136650 21159425 25391310 42318850 63478275 126956550