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125055400 = 23521736781
BaseRepresentation
bin1110111010000…
…11000110101000
322201022110202111
413131003012220
5224003233100
620224212104
73045645001
oct735030650
9281273674
10125055400
1164654a78
1235a6a034
131cba6ca2
14128741a8
15aea36ba
hex77431a8

125055400 has 48 divisors (see below), whose sum is σ = 307865340. Its totient is φ = 47078400.

The previous prime is 125055323. The next prime is 125055401. The reversal of 125055400 is 4550521.

It can be written as a sum of positive squares in 6 ways, for example, as 22600516 + 102454884 = 4754^2 + 10122^2 .

It is not an unprimeable number, because it can be changed into a prime (125055401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14991 + ... + 21790.

Almost surely, 2125055400 is an apocalyptic number.

125055400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125055400 is an abundant number, since it is smaller than the sum of its proper divisors (182809940).

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

125055400 is a wasteful number, since it uses less digits than its factorization.

125055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36814 (or 36805 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 125055400 is about 11182.8171763648. The cubic root of 125055400 is about 500.0738557568.

The spelling of 125055400 in words is "one hundred twenty-five million, fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 36781 73562 147124 183905 294248 367810 625277 735620 919525 1250554 1471240 1839050 2501108 3126385 3678100 5002216 6252770 7356200 12505540 15631925 25011080 31263850 62527700 125055400