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146107120 = 2454342473
BaseRepresentation
bin10001011010101…
…10101011110000
3101011221000021211
420231112223300
5244400411440
622255325504
73422614165
oct1055265360
9334830254
10146107120
1175523495
1240b20894
1324368023
141559406c
15cc60eea
hex8b56af0

146107120 has 40 divisors (see below), whose sum is σ = 347607216. Its totient is φ = 57082368.

The previous prime is 146107099. The next prime is 146107121. The reversal of 146107120 is 21701641.

146107120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 146107091 and 146107100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146107121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17797 + ... + 24676.

Almost surely, 2146107120 is an apocalyptic number.

146107120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146107120 is an abundant number, since it is smaller than the sum of its proper divisors (201500096).

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

146107120 is a wasteful number, since it uses less digits than its factorization.

146107120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42529 (or 42523 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 146107120 is about 12087.4778179734. The cubic root of 146107120 is about 526.6924910337.

Adding to 146107120 its reverse (21701641), we get a palindrome (167808761).

The spelling of 146107120 in words is "one hundred forty-six million, one hundred seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 42473 84946 169892 212365 339784 424730 679568 849460 1698920 1826339 3397840 3652678 7305356 9131695 14610712 18263390 29221424 36526780 73053560 146107120