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146126357 = 1323723369
BaseRepresentation
bin10001011010110…
…11011000010101
3101011221222200022
420231123120111
5244402020412
622255554525
73423024236
oct1055333025
9334858608
10146126357
1175536993
1240b2ba45
1324373a00
141559b08d
15cc66a72
hex8b5b615

146126357 has 12 divisors (see below), whose sum is σ = 162514980. Its totient is φ = 131234688.

The previous prime is 146126347. The next prime is 146126371. The reversal of 146126357 is 753621641.

146126357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 20484676 + 125641681 = 4526^2 + 11209^2 .

It is not a de Polignac number, because 146126357 - 212 = 146122261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146126317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5432 + ... + 17937.

It is an arithmetic number, because the mean of its divisors is an integer number (13542915).

Almost surely, 2146126357 is an apocalyptic number.

It is an amenable number.

146126357 is a deficient number, since it is larger than the sum of its proper divisors (16388623).

146126357 is a wasteful number, since it uses less digits than its factorization.

146126357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23432 (or 23419 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 146126357 is about 12088.2735326431. The cubic root of 146126357 is about 526.7156054419.

Adding to 146126357 its reverse (753621641), we get a palindrome (899747998).

The spelling of 146126357 in words is "one hundred forty-six million, one hundred twenty-six thousand, three hundred fifty-seven".

Divisors: 1 13 37 169 481 6253 23369 303797 864653 3949361 11240489 146126357