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126849450 = 23527139293
BaseRepresentation
bin1111000111110…
…01000110101010
322211200121201210
413203321012222
5224433140300
620330453550
73100126320
oct743710652
9284617653
10126849450
116566a962
12365942b6
1320384760
1412bbdd10
15b20a050
hex78f91aa

126849450 has 96 divisors (see below), whose sum is σ = 387225216. Its totient is φ = 26760960.

The previous prime is 126849421. The next prime is 126849487. The reversal of 126849450 is 54948621.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 126849399 and 126849408.

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, 9004 + ... + 18296.

It is an arithmetic number, because the mean of its divisors is an integer number (4033596).

Almost surely, 2126849450 is an apocalyptic number.

126849450 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 126849450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193612608).

126849450 is an abundant number, since it is smaller than the sum of its proper divisors (260375766).

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

126849450 is a wasteful number, since it uses less digits than its factorization.

126849450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9323 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 126849450 is about 11262.7461127382. The cubic root of 126849450 is about 502.4538706696.

The spelling of 126849450 in words is "one hundred twenty-six million, eight hundred forty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 4550 6825 9293 13650 18586 27879 46465 55758 65051 92930 120809 130102 139395 195153 232325 241618 278790 325255 362427 390306 464650 604045 650510 696975 724854 845663 975765 1208090 1393950 1626275 1691326 1812135 1951530 2536989 3020225 3252550 3624270 4228315 4878825 5073978 6040450 8456630 9060675 9757650 12684945 18121350 21141575 25369890 42283150 63424725 126849450