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125897856 = 273726691
BaseRepresentation
bin1111000000100…
…00110010000000
322202220021101120
413200100302000
5224212212411
620254232240
73056054100
oct740206200
9282807346
10125897856
116507aa17
12361b5680
1320110596
1412a13200
15b0bd106
hex7810c80

125897856 has 96 divisors (see below), whose sum is σ = 389072880. Its totient is φ = 35965440.

The previous prime is 125897773. The next prime is 125897861. The reversal of 125897856 is 658798521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 125897799 and 125897808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15471 + ... + 22161.

Almost surely, 2125897856 is an apocalyptic number.

125897856 is a gapful number since it is divisible by the number (16) 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 125897856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194536440).

125897856 is an abundant number, since it is smaller than the sum of its proper divisors (263175024).

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

125897856 is an equidigital number, since it uses as much as digits as its factorization.

125897856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 6703 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 51.

The square root of 125897856 is about 11220.4213824615. The cubic root of 125897856 is about 501.1942864220.

The spelling of 125897856 in words is "one hundred twenty-five million, eight hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 6691 9408 13382 18816 20073 26764 40146 46837 53528 80292 93674 107056 140511 160584 187348 214112 281022 321168 327859 374696 428224 562044 642336 655718 749392 856448 983577 1124088 1284672 1311436 1498784 1967154 2248176 2569344 2622872 2997568 3934308 4496352 5245744 5995136 7868616 8992704 10491488 15737232 17985408 20982976 31474464 41965952 62948928 125897856