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125326890 = 232513176301
BaseRepresentation
bin1110111100001…
…01011000101010
322201211021011200
413132011120222
5224040430030
620234105030
73051155343
oct736053052
9281737150
10125326890
116481aa47
1235b7b176
131cc70730
14129050ca
15b008d60
hex778562a

125326890 has 96 divisors (see below), whose sum is σ = 371616336. Its totient is φ = 29030400.

The previous prime is 125326889. The next prime is 125326913. The reversal of 125326890 is 98623521.

It can be written as a sum of positive squares in 8 ways, for example, as 55219761 + 70107129 = 7431^2 + 8373^2 .

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, 16740 + ... + 23040.

Almost surely, 2125326890 is an apocalyptic number.

125326890 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 125326890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185808168).

125326890 is an abundant number, since it is smaller than the sum of its proper divisors (246289446).

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

125326890 is a wasteful number, since it uses less digits than its factorization.

125326890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6344 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 125326890 is about 11194.9493076119. The cubic root of 125326890 is about 500.4354739481.

The spelling of 125326890 in words is "one hundred twenty-five million, three hundred twenty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6301 6630 9945 12602 18903 19890 31505 37806 56709 63010 81913 94515 107117 113418 163826 189030 214234 245739 283545 321351 409565 491478 535585 567090 642702 737217 819130 964053 1071170 1228695 1392521 1474434 1606755 1928106 2457390 2785042 3213510 3686085 4177563 4820265 6962605 7372170 8355126 9640530 12532689 13925210 20887815 25065378 41775630 62663445 125326890