Search a number
-
+
124402400 = 2552236761
BaseRepresentation
bin1110110101000…
…11101011100000
322200002022000022
413122203223200
5223321334100
620202213012
73040255133
oct732435340
9280068008
10124402400
1164249401
12357b4168
131ca089b5
141274421a
15adc4e85
hex76a3ae0

124402400 has 72 divisors (see below), whose sum is σ = 316948464. Its totient is φ = 47590400.

The previous prime is 124402393. The next prime is 124402417. The reversal of 124402400 is 4204421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15020 + ... + 21780.

It is an arithmetic number, because the mean of its divisors is an integer number (4402062).

Almost surely, 2124402400 is an apocalyptic number.

124402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158474232).

124402400 is an abundant number, since it is smaller than the sum of its proper divisors (192546064).

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

124402400 is a wasteful number, since it uses less digits than its factorization.

124402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 124402400 is about 11153.5823841490. The cubic root of 124402400 is about 499.2019268362.

Adding to 124402400 its reverse (4204421), we get a palindrome (128606821).

The spelling of 124402400 in words is "one hundred twenty-four million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1150 1840 2300 3680 4600 6761 9200 13522 18400 27044 33805 54088 67610 108176 135220 155503 169025 216352 270440 311006 338050 540880 622012 676100 777515 1081760 1244024 1352200 1555030 2488048 2704400 3110060 3887575 4976096 5408800 6220120 7775150 12440240 15550300 24880480 31100600 62201200 124402400