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125785000 = 2354112287
BaseRepresentation
bin1110111111101…
…01001110101000
322202200112120201
413133311032220
5224200110000
620252001544
73055104055
oct737651650
9282615521
10125785000
1165003150
12361602b4
13200a10c3
14129c402c
15b09996a
hex77f53a8

125785000 has 80 divisors (see below), whose sum is σ = 321647040. Its totient is φ = 45720000.

The previous prime is 125784973. The next prime is 125785001. The reversal of 125785000 is 587521.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 125785000.

It is not an unprimeable number, because it can be changed into a prime (125785001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 53857 + ... + 56143.

It is an arithmetic number, because the mean of its divisors is an integer number (4020588).

Almost surely, 2125785000 is an apocalyptic number.

125785000 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 125785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160823520).

125785000 is an abundant number, since it is smaller than the sum of its proper divisors (195862040).

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

125785000 is a wasteful number, since it uses less digits than its factorization.

125785000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 125785000 is about 11215.3912102967. The cubic root of 125785000 is about 501.0444832568.

It can be divided in two parts, 12578 and 5000, that added together give a triangular number (17578 = T187).

The spelling of 125785000 in words is "one hundred twenty-five million, seven hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2287 2500 2750 4574 5000 5500 6875 9148 11000 11435 13750 18296 22870 25157 27500 45740 50314 55000 57175 91480 100628 114350 125785 201256 228700 251570 285875 457400 503140 571750 628925 1006280 1143500 1257850 1429375 2287000 2515700 2858750 3144625 5031400 5717500 6289250 11435000 12578500 15723125 25157000 31446250 62892500 125785000