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125897112 = 23331124817
BaseRepresentation
bin1111000000100…
…00100110011000
322202220020101000
413200100212120
5224212201422
620254225000
73056051655
oct740204630
9282806330
10125897112
116507a400
12361b5160
1320110143
1412a12c2c
15b0bccac
hex7810998

125897112 has 96 divisors (see below), whose sum is σ = 384476400. Its totient is φ = 38142720.

The previous prime is 125897099. The next prime is 125897113. The reversal of 125897112 is 211798521.

It is a happy number.

125897112 is a `hidden beast` number, since 1 + 2 + 589 + 71 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125897113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23728 + ... + 28544.

Almost surely, 2125897112 is an apocalyptic number.

125897112 is a gapful number since it is divisible by the number (12) 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 125897112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192238200).

125897112 is an abundant number, since it is smaller than the sum of its proper divisors (258579288).

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

125897112 is a wasteful number, since it uses less digits than its factorization.

125897112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854 (or 4833 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 125897112 is about 11220.3882285775. The cubic root of 125897112 is about 501.1932991420.

It can be divided in two parts, 12589 and 7112, that added together give a triangular number (19701 = T198).

The spelling of 125897112 in words is "one hundred twenty-five million, eight hundred ninety-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 4817 6534 8712 9634 13068 14451 19268 26136 28902 38536 43353 52987 57804 86706 105974 115608 130059 158961 173412 211948 260118 317922 346824 423896 476883 520236 582857 635844 953766 1040472 1165714 1271688 1430649 1748571 1907532 2331428 2861298 3497142 3815064 4662856 5245713 5722596 6994284 10491426 11445192 13988568 15737139 20982852 31474278 41965704 62948556 125897112