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146927431 = 7243137509
BaseRepresentation
bin10001100000111…
…10111101000111
3101020110200112201
420300132331013
5300103134211
622325055331
73432601600
oct1060367507
9336420481
10146927431
1175a33832
1241257547
1324594511
1415728da7
15cd740c1
hex8c1ef47

146927431 has 24 divisors (see below), whose sum is σ = 176513040. Its totient is φ = 121871232.

The previous prime is 146927423. The next prime is 146927441. The reversal of 146927431 is 134729641.

It is not a de Polignac number, because 146927431 - 23 = 146927423 is a prime.

It is a super-2 number, since 2×1469274312 = 43175339960519522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146927411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288405 + ... + 288913.

It is an arithmetic number, because the mean of its divisors is an integer number (7354710).

Almost surely, 2146927431 is an apocalyptic number.

146927431 is a deficient number, since it is larger than the sum of its proper divisors (29585609).

146927431 is a wasteful number, since it uses less digits than its factorization.

146927431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 696 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 146927431 is about 12121.3625884221. The cubic root of 146927431 is about 527.6763481274.

It can be divided in two parts, 1469 and 27431, that added together give a square (28900 = 1702).

The spelling of 146927431 in words is "one hundred forty-six million, nine hundred twenty-seven thousand, four hundred thirty-one".

Divisors: 1 7 43 49 137 301 509 959 2107 3563 5891 6713 21887 24941 41237 69733 153209 288659 488131 1072463 2998519 3416917 20989633 146927431