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125570000 = 245429433
BaseRepresentation
bin1110111110000…
…00101111010000
322202021121122202
413133000233100
5224121220000
620243222332
73053220203
oct737005720
9282247582
10125570000
1164976666
12360779a8
132002729a
141296993a
15b055dd5
hex77c0bd0

125570000 has 100 divisors (see below), whose sum is σ = 315227220. Its totient is φ = 48384000.

The previous prime is 125569999. The next prime is 125570009. The reversal of 125570000 is 75521.

It can be written as a sum of positive squares in 10 ways, for example, as 115175824 + 10394176 = 10732^2 + 3224^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125570009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289784 + ... + 290216.

Almost surely, 2125570000 is an apocalyptic number.

125570000 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 125570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157613610).

125570000 is an abundant number, since it is smaller than the sum of its proper divisors (189657220).

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

125570000 is an equidigital number, since it uses as much as digits as its factorization.

125570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 125570000 is about 11205.8020685714. The cubic root of 125570000 is about 500.7588477176.

The spelling of 125570000 in words is "one hundred twenty-five million, five hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 433 464 500 580 625 725 866 1000 1160 1250 1450 1732 2000 2165 2320 2500 2900 3464 3625 4330 5000 5800 6928 7250 8660 10000 10825 11600 12557 14500 17320 18125 21650 25114 29000 34640 36250 43300 50228 54125 58000 62785 72500 86600 100456 108250 125570 145000 173200 200912 216500 251140 270625 290000 313925 433000 502280 541250 627850 866000 1004560 1082500 1255700 1569625 2165000 2511400 3139250 4330000 5022800 6278500 7848125 12557000 15696250 25114000 31392500 62785000 125570000