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125900216 = 23134347599
BaseRepresentation
bin1111000000100…
…01010110111000
322202220101121222
413200101112320
5224212301331
620254251212
73056064011
oct740212670
9282811558
10125900216
1165081772
12361b6b08
1320111690
1412a14008
15b0bdb7b
hex78115b8

125900216 has 64 divisors (see below), whose sum is σ = 266112000. Its totient is φ = 55456128.

The previous prime is 125900209. The next prime is 125900219. The reversal of 125900216 is 612009521.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125900219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209885 + ... + 210483.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2125900216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125900216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

125900216 is an abundant number, since it is smaller than the sum of its proper divisors (140211784).

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

125900216 is a wasteful number, since it uses less digits than its factorization.

125900216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 125900216 is about 11220.5265473595. The cubic root of 125900216 is about 501.1974180907.

Adding to 125900216 its reverse (612009521), we get a palindrome (737909737).

The spelling of 125900216 in words is "one hundred twenty-five million, nine hundred thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 43 47 52 86 94 104 172 188 344 376 559 599 611 1118 1198 1222 2021 2236 2396 2444 4042 4472 4792 4888 7787 8084 15574 16168 25757 26273 28153 31148 51514 52546 56306 62296 103028 105092 112612 206056 210184 225224 334841 365989 669682 731978 1210579 1339364 1463956 2421158 2678728 2927912 4842316 9684632 15737527 31475054 62950108 125900216