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146640213 = 3437113433
BaseRepresentation
bin10001011110110…
…00110101010101
3101012221002120000
420233120311111
5300014441323
622315001513
73430264326
oct1057306525
9335832500
10146640213
1175857a65
1241139299
13244c3875
141569244d
15cd18e43
hex8bd8d55

146640213 has 40 divisors (see below), whose sum is σ = 227490648. Its totient is φ = 94058496.

The previous prime is 146640209. The next prime is 146640229. The reversal of 146640213 is 312046641.

146640213 is a `hidden beast` number, since 1 + 4 + 6 + 640 + 2 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 762129 + 145878084 = 873^2 + 12078^2 .

It is not a de Polignac number, because 146640213 - 22 = 146640209 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146640253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 338445 + ... + 338877.

Almost surely, 2146640213 is an apocalyptic number.

It is an amenable number.

146640213 is a deficient number, since it is larger than the sum of its proper divisors (80850435).

146640213 is a wasteful number, since it uses less digits than its factorization.

146640213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 146640213 is about 12109.5091973209. The cubic root of 146640213 is about 527.3322848293.

Adding to 146640213 its reverse (312046641), we get a palindrome (458686854).

The spelling of 146640213 in words is "one hundred forty-six million, six hundred forty thousand, two hundred thirteen".

Divisors: 1 3 9 27 37 81 111 113 333 339 433 999 1017 1299 2997 3051 3897 4181 9153 11691 12543 16021 35073 37629 48063 48929 112887 144189 146787 338661 432567 440361 1297701 1321083 1810373 3963249 5431119 16293357 48880071 146640213