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258103307 = 71112012791
BaseRepresentation
bin11110110001001…
…01100000001011
3122222200000011202
433120211200023
51012033301212
641340014415
76252561530
oct1730454013
9588600152
10258103307
11122768920
127253140b
134161bb67
14263c8d87
15179d50c2
hexf62580b

258103307 has 16 divisors (see below), whose sum is σ = 322174464. Its totient is φ = 200880000.

The previous prime is 258103289. The next prime is 258103319. The reversal of 258103307 is 703301852.

It is a cyclic number.

It is not a de Polignac number, because 258103307 - 226 = 190994443 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 258103307.

It is not an unprimeable number, because it can be changed into a prime (258103327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91082 + ... + 93872.

It is an arithmetic number, because the mean of its divisors is an integer number (20135904).

Almost surely, 2258103307 is an apocalyptic number.

258103307 is a deficient number, since it is larger than the sum of its proper divisors (64071157).

258103307 is a wasteful number, since it uses less digits than its factorization.

258103307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 258103307 is about 16065.5938888047. The cubic root of 258103307 is about 636.6946340001.

The spelling of 258103307 in words is "two hundred fifty-eight million, one hundred three thousand, three hundred seven".

Divisors: 1 7 11 77 1201 2791 8407 13211 19537 30701 92477 214907 3351991 23463937 36871901 258103307