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146433540 = 2235111271747
BaseRepresentation
bin10001011101001…
…10011000000100
3101012112121001110
420232212120010
5244441333130
622310325020
73425443641
oct1056463004
9335477043
10146433540
1175726760
1241059770
1324450786
141563adc8
15ccc7ab0
hex8ba6604

146433540 has 96 divisors (see below), whose sum is σ = 451067904. Its totient is φ = 35199360.

The previous prime is 146433517. The next prime is 146433583. The reversal of 146433540 is 45334641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146433498 and 146433507.

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 31 ways as a sum of consecutive naturals, for example, 82947 + ... + 84693.

It is an arithmetic number, because the mean of its divisors is an integer number (4698624).

Almost surely, 2146433540 is an apocalyptic number.

146433540 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 146433540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225533952).

146433540 is an abundant number, since it is smaller than the sum of its proper divisors (304634364).

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

146433540 is a wasteful number, since it uses less digits than its factorization.

146433540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 146433540 is about 12100.9726881768. The cubic root of 146433540 is about 527.0844297012.

The spelling of 146433540 in words is "one hundred forty-six million, four hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 127 132 165 220 254 330 381 508 635 660 762 1270 1397 1524 1747 1905 2540 2794 3494 3810 4191 5241 5588 6985 6988 7620 8382 8735 10482 13970 16764 17470 19217 20955 20964 26205 27940 34940 38434 41910 52410 57651 76868 83820 96085 104820 115302 192170 221869 230604 288255 384340 443738 576510 665607 887476 1109345 1153020 1331214 2218690 2440559 2662428 3328035 4437380 4881118 6656070 7321677 9762236 12202795 13312140 14643354 24405590 29286708 36608385 48811180 73216770 146433540