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145231420 = 225292411039
BaseRepresentation
bin10001010100000…
…00111000111100
3101010021112001111
420222000320330
5244134401140
622224451404
73412306135
oct1052007074
9333245044
10145231420
1174a85574
1240779b64
132411c569
1415406c8c
15cb3b7ea
hex8a80e3c

145231420 has 48 divisors (see below), whose sum is σ = 317116800. Its totient is φ = 55802880.

The previous prime is 145231409. The next prime is 145231433. The reversal of 145231420 is 24132541.

It is a junction number, because it is equal to n+sod(n) for n = 145231391 and 145231400.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 139261 + ... + 140299.

It is an arithmetic number, because the mean of its divisors is an integer number (6606600).

Almost surely, 2145231420 is an apocalyptic number.

145231420 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 145231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558400).

145231420 is an abundant number, since it is smaller than the sum of its proper divisors (171885380).

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

145231420 is a wasteful number, since it uses less digits than its factorization.

145231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 145231420 is about 12051.1999402549. The cubic root of 145231420 is about 525.6381295667.

Adding to 145231420 its reverse (24132541), we get a palindrome (169363961).

The spelling of 145231420 in words is "one hundred forty-five million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 241 290 482 580 964 1039 1205 2078 2410 4156 4820 5195 6989 10390 13978 20780 27956 30131 34945 60262 69890 120524 139780 150655 250399 301310 500798 602620 1001596 1251995 2503990 5007980 7261571 14523142 29046284 36307855 72615710 145231420