Search a number
-
+
250616106 = 2351339667
BaseRepresentation
bin11101111000000…
…01100100101010
3122110120121200000
432330001210222
51003124203411
640511323430
76132126126
oct1674014452
9573517600
10250616106
11119514654
126bb20576
133cbc9c70
14253da586
1517006956
hexef0192a

250616106 has 48 divisors (see below), whose sum is σ = 606444384. Its totient is φ = 77110704.

The previous prime is 250616101. The next prime is 250616123. The reversal of 250616106 is 601616052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 250616106.

It is not an unprimeable number, because it can be changed into a prime (250616101) 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 23 ways as a sum of consecutive naturals, for example, 13516 + ... + 26151.

It is an arithmetic number, because the mean of its divisors is an integer number (12634258).

Almost surely, 2250616106 is an apocalyptic number.

250616106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

250616106 is an abundant number, since it is smaller than the sum of its proper divisors (355828278).

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

250616106 is a wasteful number, since it uses less digits than its factorization.

250616106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39697 (or 39685 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 250616106 is about 15830.8592944287. The cubic root of 250616106 is about 630.4775970304.

The spelling of 250616106 in words is "two hundred fifty million, six hundred sixteen thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 6318 39667 79334 119001 238002 357003 515671 714006 1031342 1071009 1547013 2142018 3094026 3213027 4641039 6426054 9282078 9639081 13923117 19278162 27846234 41769351 83538702 125308053 250616106