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146503420 = 22575991747
BaseRepresentation
bin10001011101101…
…11011011111100
3101012200010220121
420232313123330
5300001102140
622312024324
73426154450
oct1056673374
9335603817
10146503420
1175774208
12410920a4
132447651b
1415658660
15ccdd64a
hex8bb76fc

146503420 has 48 divisors (see below), whose sum is σ = 352396800. Its totient is φ = 50117184.

The previous prime is 146503417. The next prime is 146503421. The reversal of 146503420 is 24305641.

It is a super-3 number, since 3×1465034203 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146503421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82987 + ... + 84733.

It is an arithmetic number, because the mean of its divisors is an integer number (7341600).

Almost surely, 2146503420 is an apocalyptic number.

146503420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146503420 is an abundant number, since it is smaller than the sum of its proper divisors (205893380).

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

146503420 is a wasteful number, since it uses less digits than its factorization.

146503420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 146503420 is about 12103.8597149835. The cubic root of 146503420 is about 527.1682602282.

The spelling of 146503420 in words is "one hundred forty-six million, five hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 599 1198 1747 2396 2995 3494 4193 5990 6988 8386 8735 11980 12229 16772 17470 20965 24458 34940 41930 48916 61145 83860 122290 244580 1046453 2092906 4185812 5232265 7325171 10464530 14650342 20929060 29300684 36625855 73251710 146503420