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146240028 = 223211369293
BaseRepresentation
bin10001011011101…
…11001000011100
3101012011202121100
420231313020130
5244414140103
622302233100
73424006524
oct1055671034
9335152540
10146240028
1175604330
1240b85790
13243b367c
14155ca684
15cc8a5a3
hex8b7721c

146240028 has 36 divisors (see below), whose sum is σ = 403269048. Its totient is φ = 44315040.

The previous prime is 146240009. The next prime is 146240047. The reversal of 146240028 is 820042641.

146240028 is a `hidden beast` number, since 14 + 624 + 0 + 0 + 28 = 666.

146240028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146240009) and next prime (146240047).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1462400282 = 42772291578881568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146239983 and 146240010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184251 + ... + 185042.

It is an arithmetic number, because the mean of its divisors is an integer number (11201918).

Almost surely, 2146240028 is an apocalyptic number.

146240028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146240028 is an abundant number, since it is smaller than the sum of its proper divisors (257029020).

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

146240028 is a wasteful number, since it uses less digits than its factorization.

146240028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369314 (or 369309 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 146240028 is about 12092.9743239618. The cubic root of 146240028 is about 526.8521465668.

Adding to 146240028 its reverse (820042641), we get a palindrome (966282669).

The spelling of 146240028 in words is "one hundred forty-six million, two hundred forty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 369293 738586 1107879 1477172 2215758 3323637 4062223 4431516 6647274 8124446 12186669 13294548 16248892 24373338 36560007 48746676 73120014 146240028