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146714646 = 23132413529
BaseRepresentation
bin10001011111010…
…11000000010110
3101020001212122210
420233223000112
5300024332041
622320334250
73431024331
oct1057530026
9336055583
10146714646
11758a8981
1241174386
132451b700
14156b1618
15cd31016
hex8beb016

146714646 has 48 divisors (see below), whose sum is σ = 325578960. Its totient is φ = 44029440.

The previous prime is 146714611. The next prime is 146714647. The reversal of 146714646 is 646417641.

146714646 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146714647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39810 + ... + 43338.

It is an arithmetic number, because the mean of its divisors is an integer number (6782895).

Almost surely, 2146714646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146714646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162789480).

146714646 is an abundant number, since it is smaller than the sum of its proper divisors (178864314).

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

146714646 is a wasteful number, since it uses less digits than its factorization.

146714646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3588 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 146714646 is about 12112.5821359444. The cubic root of 146714646 is about 527.4214924754.

The spelling of 146714646 in words is "one hundred forty-six million, seven hundred fourteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 169 246 338 507 533 1014 1066 1599 3198 3529 6929 7058 10587 13858 20787 21174 41574 45877 91754 137631 144689 275262 289378 434067 596401 868134 1192802 1789203 1880957 3578406 3761914 5642871 11285742 24452441 48904882 73357323 146714646