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145473900 = 2235211133391
BaseRepresentation
bin10001010101111…
…00000101101100
3101010201211200020
420222330011230
5244220131100
622234002140
73414336105
oct1052740554
9333654606
10145473900
1175130770
1240876350
13241a5a40
141546b3ac
15cb885a0
hex8abc16c

145473900 has 144 divisors (see below), whose sum is σ = 494635008. Its totient is φ = 32544000.

The previous prime is 145473871. The next prime is 145473929. The reversal of 145473900 is 9374541.

It is an interprime number because it is at equal distance from previous prime (145473871) and next prime (145473929).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41205 + ... + 44595.

Almost surely, 2145473900 is an apocalyptic number.

145473900 is a gapful number since it is divisible by the number (10) 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 145473900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247317504).

145473900 is an abundant number, since it is smaller than the sum of its proper divisors (349161108).

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

145473900 is a wasteful number, since it uses less digits than its factorization.

145473900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 145473900 is about 12061.2561534858. The cubic root of 145473900 is about 525.9305040060.

The spelling of 145473900 in words is "one hundred forty-five million, four hundred seventy-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3391 3575 3900 4290 6782 7150 8580 10173 10725 13564 14300 16955 20346 21450 33910 37301 40692 42900 44083 50865 67820 74602 84775 88166 101730 111903 132249 149204 169550 176332 186505 203460 220415 223806 254325 264498 339100 373010 440830 447612 484913 508650 528996 559515 661245 746020 881660 932525 969826 1017300 1102075 1119030 1322490 1454739 1865050 1939652 2204150 2238060 2424565 2644980 2797575 2909478 3306225 3730100 4408300 4849130 5595150 5818956 6612450 7273695 9698260 11190300 12122825 13224900 14547390 24245650 29094780 36368475 48491300 72736950 145473900