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125935096 = 23723111033
BaseRepresentation
bin1111000000110…
…01110111111000
322202222011110211
413200121313320
5224214410341
620255120504
73056300500
oct740316770
9282864424
10125935096
11650a59a1
1236213134
1320124511
1412a22a00
15b0c9181
hex7819df8

125935096 has 48 divisors (see below), whose sum is σ = 275829840. Its totient is φ = 53746560.

The previous prime is 125935093. The next prime is 125935109. The reversal of 125935096 is 690539521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125935091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121396 + ... + 122428.

It is an arithmetic number, because the mean of its divisors is an integer number (5746455).

Almost surely, 2125935096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125935096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137914920).

125935096 is an abundant number, since it is smaller than the sum of its proper divisors (149894744).

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

125935096 is a wasteful number, since it uses less digits than its factorization.

125935096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 125935096 is about 11222.0807339816. The cubic root of 125935096 is about 501.2436985296.

It can be divided in two parts, 12593 and 5096, that added together give a square (17689 = 1332).

The spelling of 125935096 in words is "one hundred twenty-five million, nine hundred thirty-five thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 311 392 622 1033 1244 2066 2177 2488 4132 4354 7231 8264 8708 14462 15239 17416 28924 30478 50617 57848 60956 101234 121912 202468 321263 404936 642526 1285052 2248841 2570104 4497682 8995364 15741887 17990728 31483774 62967548 125935096