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146006028 = 223272632203
BaseRepresentation
bin10001011001111…
…10000000001100
3101011201212121200
420230332000030
5244334143103
622253225500
73422013360
oct1054760014
9334655550
10146006028
1175464543
1240a92290
1324330ccc
14155692a0
15cc410a3
hex8b3e00c

146006028 has 72 divisors (see below), whose sum is σ = 423591168. Its totient is φ = 41538528.

The previous prime is 146006011. The next prime is 146006071. The reversal of 146006028 is 820600641.

It is a junction number, because it is equal to n+sod(n) for n = 146005992 and 146006010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65175 + ... + 67377.

Almost surely, 2146006028 is an apocalyptic number.

146006028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146006028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211795584).

146006028 is an abundant number, since it is smaller than the sum of its proper divisors (277585140).

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

146006028 is a wasteful number, since it uses less digits than its factorization.

146006028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 146006028 is about 12083.2954114347. The cubic root of 146006028 is about 526.5709895810.

Adding to 146006028 its reverse (820600641), we get a palindrome (966606669).

The spelling of 146006028 in words is "one hundred forty-six million, six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 263 526 789 1052 1578 1841 2203 2367 3156 3682 4406 4734 5523 6609 7364 8812 9468 11046 13218 15421 16569 19827 22092 26436 30842 33138 39654 46263 61684 66276 79308 92526 138789 185052 277578 555156 579389 1158778 1738167 2317556 3476334 4055723 5214501 6952668 8111446 10429002 12167169 16222892 20858004 24334338 36501507 48668676 73003014 146006028