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125952200 = 23521157251
BaseRepresentation
bin1111000000111…
…10000011001000
322210000000221022
413200132003020
5224220432300
620255332012
73056401403
oct740360310
9283000838
10125952200
1165107830
1236221008
132012c23a
1412a28d3a
15b0ce285
hex781e0c8

125952200 has 48 divisors (see below), whose sum is σ = 319466160. Its totient is φ = 45800000.

The previous prime is 125952199. The next prime is 125952217. The reversal of 125952200 is 2259521.

It is a self number, because there is not a number n which added to its sum of digits gives 125952200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26426 + ... + 30825.

It is an arithmetic number, because the mean of its divisors is an integer number (6655545).

Almost surely, 2125952200 is an apocalyptic number.

125952200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125952200 is an abundant number, since it is smaller than the sum of its proper divisors (193513960).

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

125952200 is a wasteful number, since it uses less digits than its factorization.

125952200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57278 (or 57269 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 125952200 is about 11222.8427771220. The cubic root of 125952200 is about 501.2663898058.

The spelling of 125952200 in words is "one hundred twenty-five million, nine hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 57251 114502 229004 286255 458008 572510 629761 1145020 1259522 1431275 2290040 2519044 2862550 3148805 5038088 5725100 6297610 11450200 12595220 15744025 25190440 31488050 62976100 125952200