Search a number
-
+
125033142 = 231379103197
BaseRepresentation
bin1110111001111…
…01101010110110
322201021100020010
413130331222312
5224002030032
620223521050
73045523053
oct734755266
9281240203
10125033142
116463a283
1235a59186
131cb99b10
141286a02a
15ae9bccc
hex773dab6

125033142 has 64 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 37425024.

The previous prime is 125033131. The next prime is 125033143. The reversal of 125033142 is 241330521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125033143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634588 + ... + 634784.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2125033142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125033142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

125033142 is an abundant number, since it is smaller than the sum of its proper divisors (151723338).

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

125033142 is a wasteful number, since it uses less digits than its factorization.

125033142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 125033142 is about 11181.8219445670. The cubic root of 125033142 is about 500.0441854285.

Adding to 125033142 its reverse (241330521), we get a palindrome (366363663).

The spelling of 125033142 in words is "one hundred twenty-five million, thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 79 103 158 197 206 237 309 394 474 591 618 1027 1182 1339 2054 2561 2678 3081 4017 5122 6162 7683 8034 8137 15366 15563 16274 20291 24411 31126 40582 46689 48822 60873 93378 105781 121746 202319 211562 263783 317343 404638 527566 606957 634686 791349 1213914 1582698 1602989 3205978 4808967 9617934 20838857 41677714 62516571 125033142