Search a number
-
+
125918892 = 2232112137211
BaseRepresentation
bin1111000000101…
…01111010101100
322202221100020200
413200111322230
5224213401032
620254513500
73056202321
oct740257254
9282840220
10125918892
1165094800
1236205890
132011a028
1412a1ab48
15b0c447c
hex7815eac

125918892 has 108 divisors (see below), whose sum is σ = 354085368. Its totient is φ = 37699200.

The previous prime is 125918887. The next prime is 125918893. The reversal of 125918892 is 298819521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125918893) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 596667 + ... + 596877.

Almost surely, 2125918892 is an apocalyptic number.

125918892 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 125918892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177042684).

125918892 is an abundant number, since it is smaller than the sum of its proper divisors (228166476).

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

125918892 is a wasteful number, since it uses less digits than its factorization.

125918892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 125918892 is about 11221.3587412577. The cubic root of 125918892 is about 501.2221993566. Note that the first 3 decimals are identical.

The spelling of 125918892 in words is "one hundred twenty-five million, nine hundred eighteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 137 198 211 242 274 363 396 411 422 484 548 633 726 822 844 1089 1233 1266 1452 1507 1644 1899 2178 2321 2466 2532 3014 3798 4356 4521 4642 4932 6028 6963 7596 9042 9284 13563 13926 16577 18084 20889 25531 27126 27852 28907 33154 41778 49731 51062 54252 57814 66308 76593 83556 86721 99462 102124 115628 149193 153186 173442 198924 229779 260163 298386 306372 317977 346884 459558 520326 596772 635954 919116 953931 1040652 1271908 1907862 2861793 3497747 3815724 5723586 6995494 10493241 11447172 13990988 20986482 31479723 41972964 62959446 125918892