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145461330 = 23257230891
BaseRepresentation
bin10001010101110…
…01000001010010
3101010201012102200
420222321001102
5244214230310
622233424030
73414254340
oct1052710122
9333635380
10145461330
1175122283
124086b016
13241a00c1
1415466990
15cb849c0
hex8ab9052

145461330 has 48 divisors (see below), whose sum is σ = 432229824. Its totient is φ = 33248160.

The previous prime is 145461301. The next prime is 145461353. The reversal of 145461330 is 33164541.

145461330 is a `hidden beast` number, since 1 + 45 + 4 + 613 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145461294 and 145461303.

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, 114816 + ... + 116075.

It is an arithmetic number, because the mean of its divisors is an integer number (9004788).

Almost surely, 2145461330 is an apocalyptic number.

145461330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145461330 is an abundant number, since it is smaller than the sum of its proper divisors (286768494).

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

145461330 is a wasteful number, since it uses less digits than its factorization.

145461330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230911 (or 230908 counting only the distinct ones).

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

The square root of 145461330 is about 12060.7350522263. The cubic root of 145461330 is about 525.9153554997.

It can be divided in two parts, 14546 and 1330, that added together give a square (15876 = 1262).

The spelling of 145461330 in words is "one hundred forty-five million, four hundred sixty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 230891 461782 692673 1154455 1385346 1616237 2078019 2308910 3232474 3463365 4156038 4848711 6926730 8081185 9697422 10390095 14546133 16162370 20780190 24243555 29092266 48487110 72730665 145461330