Search a number
-
+
125461980 = 22335733191
BaseRepresentation
bin1110111101001…
…10010111011100
322202002010111000
413132212113130
5224104240410
620241030300
73052260240
oct736462734
9282063430
10125461980
1164902496
1236025390
131ccba077
141293c420
15b033dc0
hex77a65dc

125461980 has 96 divisors (see below), whose sum is σ = 446100480. Its totient is φ = 28676160.

The previous prime is 125461969. The next prime is 125461993. The reversal of 125461980 is 89164521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12816 + ... + 20375.

It is an arithmetic number, because the mean of its divisors is an integer number (4646880).

Almost surely, 2125461980 is an apocalyptic number.

125461980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125461980 is an abundant number, since it is smaller than the sum of its proper divisors (320638500).

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

125461980 is a wasteful number, since it uses less digits than its factorization.

125461980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33216 (or 33208 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 125461980 is about 11200.9812070193. The cubic root of 125461980 is about 500.6152160413.

The spelling of 125461980 in words is "one hundred twenty-five million, four hundred sixty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 33191 66382 99573 132764 165955 199146 232337 298719 331910 398292 464674 497865 597438 663820 697011 896157 929348 995730 1161685 1194876 1394022 1493595 1792314 1991460 2091033 2323370 2788044 2987190 3485055 3584628 4182066 4480785 4646740 5974380 6273099 6970110 8364132 8961570 10455165 12546198 13940220 17923140 20910330 25092396 31365495 41820660 62730990 125461980