Search a number
-
+
125039936 = 267793533
BaseRepresentation
bin1110111001111…
…11010101000000
322201021200112202
413130333111000
5224002234221
620224012332
73045551630
oct734772500
9281250482
10125039936
116464439a
1235a610a8
131cb9cc38
141286c6c0
15ae9dd0b
hex773f540

125039936 has 56 divisors (see below), whose sum is σ = 287243520. Its totient is φ = 52895232.

The previous prime is 125039933. The next prime is 125039953. The reversal of 125039936 is 639930521.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 125039936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125039933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33626 + ... + 37158.

Almost surely, 2125039936 is an apocalyptic number.

125039936 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 125039936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143621760).

125039936 is an abundant number, since it is smaller than the sum of its proper divisors (162203584).

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

125039936 is an equidigital number, since it uses as much as digits as its factorization.

125039936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 38.

The square root of 125039936 is about 11182.1257370859. The cubic root of 125039936 is about 500.0532423303.

The spelling of 125039936 in words is "one hundred twenty-five million, thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 3533 4424 5056 7066 8848 14132 17696 24731 28264 35392 49462 56528 98924 113056 197848 226112 279107 395696 558214 791392 1116428 1582784 1953749 2232856 3907498 4465712 7814996 8931424 15629992 17862848 31259984 62519968 125039936