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131224304 = 2429436577
BaseRepresentation
bin1111101001001…
…01001011110000
3100010220212220102
413310211023300
5232043134204
621004331532
73152250101
oct764451360
9303825812
10131224304
1168088842
1237b43ba8
1321256b23
14135dc3a8
15b7c141e
hex7d252f0

131224304 has 40 divisors (see below), whose sum is σ = 269171760. Its totient is φ = 61867008.

The previous prime is 131224283. The next prime is 131224307. The reversal of 131224304 is 403422131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131224307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16664 + ... + 23240.

It is an arithmetic number, because the mean of its divisors is an integer number (6729294).

Almost surely, 2131224304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131224304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134585880).

131224304 is an abundant number, since it is smaller than the sum of its proper divisors (137947456).

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

131224304 is a wasteful number, since it uses less digits than its factorization.

131224304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6657 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 131224304 is about 11455.3177171129. The cubic root of 131224304 is about 508.1650113911.

Adding to 131224304 its reverse (403422131), we get a palindrome (534646435).

The spelling of 131224304 in words is "one hundred thirty-one million, two hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 464 688 1247 2494 4988 6577 9976 13154 19952 26308 52616 105232 190733 282811 381466 565622 762932 1131244 1525864 2262488 3051728 4524976 8201519 16403038 32806076 65612152 131224304