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146023056 = 2432192532
BaseRepresentation
bin10001011010000…
…10001010010000
3101011202201222100
420231002022100
5244340214211
622253440400
73422114124
oct1055021220
9334681870
10146023056
1175476313
1240aa0100
132433899a
1415571584
15cc46156
hex8b42290

146023056 has 135 divisors (see below), whose sum is σ = 439593609. Its totient is φ = 45242496.

The previous prime is 146023027. The next prime is 146023057. The reversal of 146023056 is 650320641.

The square root of 146023056 is 12084.

It is a perfect power (a square), and thus also a powerful number.

146023056 is a `hidden beast` number, since 1 + 4 + 602 + 3 + 0 + 56 = 666.

146023056 is digitally balanced in base 3, 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 only one way, i.e., 105267600 + 40755456 = 10260^2 + 6384^2 .

It is not an unprimeable number, because it can be changed into a prime (146023057) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2755126 + ... + 2755178.

Almost surely, 2146023056 is an apocalyptic number.

146023056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146023056 is the 12084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146023056

146023056 is an abundant number, since it is smaller than the sum of its proper divisors (293570553).

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

146023056 is a wasteful number, since it uses less digits than its factorization.

146023056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 146023056 is about 526.5914592889.

Adding to 146023056 its reverse (650320641), we get a palindrome (796343697).

The spelling of 146023056 in words is "one hundred forty-six million, twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 53 57 72 76 106 114 144 152 159 171 212 228 304 318 342 361 424 456 477 636 684 722 848 912 954 1007 1083 1272 1368 1444 1908 2014 2166 2544 2736 2809 2888 3021 3249 3816 4028 4332 5618 5776 6042 6498 7632 8056 8427 8664 9063 11236 12084 12996 16112 16854 17328 18126 19133 22472 24168 25281 25992 33708 36252 38266 44944 48336 50562 51984 53371 57399 67416 72504 76532 101124 106742 114798 134832 145008 153064 160113 172197 202248 213484 229596 306128 320226 344394 404496 426968 459192 480339 640452 688788 853936 918384 960678 1014049 1280904 1377576 1921356 2028098 2561808 2755152 3042147 3842712 4056196 6084294 7685424 8112392 9126441 12168588 16224784 18252882 24337176 36505764 48674352 73011528 146023056