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146565640 = 23513281857
BaseRepresentation
bin10001011110001…
…10101000001000
3101012210022021001
420233012220020
5300010100030
622313224344
73426534034
oct1057065010
9335708231
10146565640
1175806a31
12411020b4
1324498940
14156731c4
15cd01cca
hex8bc6a08

146565640 has 32 divisors (see below), whose sum is σ = 355141080. Its totient is φ = 54116352.

The previous prime is 146565607. The next prime is 146565641. The reversal of 146565640 is 46565641.

It can be written as a sum of positive squares in 4 ways, for example, as 107702884 + 38862756 = 10378^2 + 6234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146565640.

It is not an unprimeable number, because it can be changed into a prime (146565641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140409 + ... + 141448.

Almost surely, 2146565640 is an apocalyptic number.

146565640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146565640 is an abundant number, since it is smaller than the sum of its proper divisors (208575440).

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

146565640 is a wasteful number, since it uses less digits than its factorization.

146565640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281881 (or 281877 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 146565640 is about 12106.4296966529. The cubic root of 146565640 is about 527.2428791160.

Subtracting from 146565640 its reverse (46565641), we obtain a palindrome (99999999).

The spelling of 146565640 in words is "one hundred forty-six million, five hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 281857 563714 1127428 1409285 2254856 2818570 3664141 5637140 7328282 11274280 14656564 18320705 29313128 36641410 73282820 146565640