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149814 = 23272941
BaseRepresentation
bin100100100100110110
321121111200
4210210312
514243224
63113330
71162530
oct444466
9247450
10149814
11a2615
1272846
1353262
143c850
152e5c9
hex24936

149814 has 48 divisors (see below), whose sum is σ = 393120. Its totient is φ = 40320.

The previous prime is 149803. The next prime is 149827. The reversal of 149814 is 418941.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149814.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634 + ... + 3674.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2149814 is an apocalyptic number.

149814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

149814 is an abundant number, since it is smaller than the sum of its proper divisors (243306).

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

149814 is a wasteful number, since it uses less digits than its factorization.

149814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 149814 is about 387.0581351683. The cubic root of 149814 is about 53.1109577650.

The spelling of 149814 in words is "one hundred forty-nine thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 41 42 58 63 82 87 123 126 174 203 246 261 287 369 406 522 574 609 738 861 1189 1218 1722 1827 2378 2583 3567 3654 5166 7134 8323 10701 16646 21402 24969 49938 74907 149814