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125081000 = 23531183137
BaseRepresentation
bin1110111010010…
…01010110101000
322201100202212122
413131021112220
5224010043000
620224530412
73046112432
oct735112650
9281322778
10125081000
1164672230
1235a80a08
131cbb5835
141287d652
15aeab085
hex77495a8

125081000 has 128 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 44608000.

The previous prime is 125080999. The next prime is 125081017. The reversal of 125081000 is 180521.

It is a super-2 number, since 2×1250810002 = 31290513122000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125081000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912932 + ... + 913068.

It is an arithmetic number, because the mean of its divisors is an integer number (2542995).

Almost surely, 2125081000 is an apocalyptic number.

125081000 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 125081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

125081000 is an abundant number, since it is smaller than the sum of its proper divisors (200422360).

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

125081000 is a wasteful number, since it uses less digits than its factorization.

125081000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 125081000 is about 11183.9617309789. The cubic root of 125081000 is about 500.1079766804.

The spelling of 125081000 in words is "one hundred twenty-five million, eighty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 83 88 100 110 125 137 166 200 220 250 274 275 332 415 440 500 548 550 664 685 830 913 1000 1096 1100 1370 1375 1507 1660 1826 2075 2200 2740 2750 3014 3320 3425 3652 4150 4565 5480 5500 6028 6850 7304 7535 8300 9130 10375 11000 11371 12056 13700 15070 16600 17125 18260 20750 22742 22825 27400 30140 34250 36520 37675 41500 45484 45650 56855 60280 68500 75350 83000 90968 91300 113710 114125 125081 137000 150700 182600 188375 227420 228250 250162 284275 301400 376750 454840 456500 500324 568550 625405 753500 913000 1000648 1137100 1250810 1421375 1507000 2274200 2501620 2842750 3127025 5003240 5685500 6254050 11371000 12508100 15635125 25016200 31270250 62540500 125081000