Search a number
-
+
125693007 = 31110735597
BaseRepresentation
bin1110111110111…
…10110001001111
322202111212101120
413133132301033
5224134134012
620250012023
73054241626
oct737366117
9282455346
10125693007
1164a50020
1236117013
132006b27b
141299c6bd
15b07c58c
hex77dec4f

125693007 has 16 divisors (see below), whose sum is σ = 184540032. Its totient is φ = 75463520.

The previous prime is 125692991. The next prime is 125693011. The reversal of 125693007 is 700396521.

It is not a de Polignac number, because 125693007 - 24 = 125692991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125693017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14268 + ... + 21329.

It is an arithmetic number, because the mean of its divisors is an integer number (11533752).

Almost surely, 2125693007 is an apocalyptic number.

125693007 is a deficient number, since it is larger than the sum of its proper divisors (58847025).

125693007 is a wasteful number, since it uses less digits than its factorization.

125693007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35718.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 125693007 is about 11211.2892657357. The cubic root of 125693007 is about 500.9223069869.

It can be divided in two parts, 12569 and 3007, that added together give a triangular number (15576 = T176).

The spelling of 125693007 in words is "one hundred twenty-five million, six hundred ninety-three thousand, seven".

Divisors: 1 3 11 33 107 321 1177 3531 35597 106791 391567 1174701 3808879 11426637 41897669 125693007