Search a number
-
+
249690 = 23572941
BaseRepresentation
bin111100111101011010
3110200111210
4330331122
530442230
65203550
72056650
oct747532
9420453
10249690
11160661
121005b6
138985c
1466dd0
154deb0
hex3cf5a

249690 has 64 divisors (see below), whose sum is σ = 725760. Its totient is φ = 53760.

The previous prime is 249677. The next prime is 249703. The reversal of 249690 is 96942.

It is an interprime number because it is at equal distance from previous prime (249677) and next prime (249703).

It is a super-2 number, since 2×2496902 = 124690192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6070 + ... + 6110.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2249690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

249690 is an abundant number, since it is smaller than the sum of its proper divisors (476070).

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

249690 is a wasteful number, since it uses less digits than its factorization.

249690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 249690 is about 499.6899038404. The cubic root of 249690 is about 62.9700033564.

It can be divided in two parts, 249 and 690, that added together give a palindrome (939).

The spelling of 249690 in words is "two hundred forty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 41 42 58 70 82 87 105 123 145 174 203 205 210 246 287 290 406 410 435 574 609 615 861 870 1015 1189 1218 1230 1435 1722 2030 2378 2870 3045 3567 4305 5945 6090 7134 8323 8610 11890 16646 17835 24969 35670 41615 49938 83230 124845 249690