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146495140 = 225112572591
BaseRepresentation
bin10001011101101…
…01011010100100
3101012122201112221
420232311122210
5300000321030
622311522124
73426121351
oct1056653244
9335581487
10146495140
1175768a70
1241089344
132447281c
1415655628
15ccdae7a
hex8bb56a4

146495140 has 48 divisors (see below), whose sum is σ = 337042944. Its totient is φ = 53043200.

The previous prime is 146495117. The next prime is 146495179. The reversal of 146495140 is 41594641.

It is a happy number.

146495140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146495096 and 146495105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55245 + ... + 57835.

It is an arithmetic number, because the mean of its divisors is an integer number (7021728).

Almost surely, 2146495140 is an apocalyptic number.

146495140 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 146495140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168521472).

146495140 is an abundant number, since it is smaller than the sum of its proper divisors (190547804).

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

146495140 is a wasteful number, since it uses less digits than its factorization.

146495140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 146495140 is about 12103.5176704956. The cubic root of 146495140 is about 527.1583286388.

The spelling of 146495140 in words is "one hundred forty-six million, four hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 257 514 1028 1285 2570 2591 2827 5140 5182 5654 10364 11308 12955 14135 25910 28270 28501 51820 56540 57002 114004 142505 285010 570020 665887 1331774 2663548 3329435 6658870 7324757 13317740 14649514 29299028 36623785 73247570 146495140