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145431460 = 22537593331
BaseRepresentation
bin10001010101100…
…01101110100100
3101010122200110101
420222301232210
5244212301320
622233033444
73414101266
oct1052615644
9333580411
10145431460
1175101899
1240855884
132418c625
1415459b36
15cb7ac0a
hex8ab1ba4

145431460 has 48 divisors (see below), whose sum is σ = 319072320. Its totient is φ = 55624320.

The previous prime is 145431443. The next prime is 145431463. The reversal of 145431460 is 64134541.

It is not an unprimeable number, because it can be changed into a prime (145431463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41995 + ... + 45325.

It is an arithmetic number, because the mean of its divisors is an integer number (6647340).

Almost surely, 2145431460 is an apocalyptic number.

145431460 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 145431460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159536160).

145431460 is an abundant number, since it is smaller than the sum of its proper divisors (173640860).

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

145431460 is a wasteful number, since it uses less digits than its factorization.

145431460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 145431460 is about 12059.4966727472. The cubic root of 145431460 is about 525.8793547128.

The spelling of 145431460 in words is "one hundred forty-five million, four hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 59 74 118 148 185 236 295 370 590 740 1180 2183 3331 4366 6662 8732 10915 13324 16655 21830 33310 43660 66620 123247 196529 246494 393058 492988 616235 786116 982645 1232470 1965290 2464940 3930580 7271573 14543146 29086292 36357865 72715730 145431460