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1531402146 = 2332310311971
BaseRepresentation
bin101101101000111…
…0101011110100010
310221201121021211000
41123101311132202
511114014332041
6411543132430
752643463201
oct13321653642
93851537730
101531402146
1171648910a
12368a44116
131b5368521
14107559238
158e69dbb6
hex5b4757a2

1531402146 has 64 divisors (see below), whose sum is σ = 3585853440. Its totient is φ = 483492240.

The previous prime is 1531402141. The next prime is 1531402153. The reversal of 1531402146 is 6412041351.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1531402141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121941 + ... + 133911.

It is an arithmetic number, because the mean of its divisors is an integer number (56028960).

Almost surely, 21531402146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1531402146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792926720).

1531402146 is an abundant number, since it is smaller than the sum of its proper divisors (2054451294).

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

1531402146 is a wasteful number, since it uses less digits than its factorization.

1531402146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12108 (or 12102 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1531402146 is about 39133.1336082354. The cubic root of 1531402146 is about 1152.6472464137.

Adding to 1531402146 its reverse (6412041351), we get a palindrome (7943443497).

The spelling of 1531402146 in words is "one billion, five hundred thirty-one million, four hundred two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 103 138 206 207 309 414 618 621 927 1242 1854 2369 2781 4738 5562 7107 11971 14214 21321 23942 35913 42642 63963 71826 107739 127926 215478 275333 323217 550666 646434 825999 1233013 1651998 2466026 2477997 3699039 4955994 7398078 7433991 11097117 14867982 22194234 28359299 33291351 56718598 66582702 85077897 170155794 255233691 510467382 765701073 1531402146