Search a number
-
+
7146150 = 2352116171
BaseRepresentation
bin11011010000101010100110
3111110001200020
4123100222212
53312134100
6413100010
7114512154
oct33205246
914401606
107146150
114041010
122487606
1316328bb
14d403d4
159625a0
hex6d0aa6

7146150 has 96 divisors (see below), whose sum is σ = 19927296. Its totient is φ = 1680000.

The previous prime is 7146133. The next prime is 7146157. The reversal of 7146150 is 516417.

It is a self number, because there is not a number n which added to its sum of digits gives 7146150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7146157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100615 + ... + 100685.

It is an arithmetic number, because the mean of its divisors is an integer number (207576).

Almost surely, 27146150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7146150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963648).

7146150 is an abundant number, since it is smaller than the sum of its proper divisors (12781146).

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

7146150 is a wasteful number, since it uses less digits than its factorization.

7146150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 7146150 is about 2673.2283853049. The cubic root of 7146150 is about 192.6152680082.

The spelling of 7146150 in words is "seven million, one hundred forty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 61 66 71 75 110 122 142 150 165 183 213 275 305 330 355 366 426 550 610 671 710 781 825 915 1065 1342 1525 1562 1650 1775 1830 2013 2130 2343 3050 3355 3550 3905 4026 4331 4575 4686 5325 6710 7810 8662 9150 10065 10650 11715 12993 16775 19525 20130 21655 23430 25986 33550 39050 43310 47641 50325 58575 64965 95282 100650 108275 117150 129930 142923 216550 238205 285846 324825 476410 649650 714615 1191025 1429230 2382050 3573075 7146150