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145847560 = 23531117619
BaseRepresentation
bin10001011000101…
…11010100001000
3101011102211020111
420230113110020
5244314110220
622250004104
73420453355
oct1054272410
9334384214
10145847560
1175366481
1240a16634
13242a6b41
141552762c
15cc0e15a
hex8b17508

145847560 has 32 divisors (see below), whose sum is σ = 338745600. Its totient is φ = 56456640.

The previous prime is 145847521. The next prime is 145847563. The reversal of 145847560 is 65748541.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (145847563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 57570 + ... + 60049.

It is an arithmetic number, because the mean of its divisors is an integer number (10585800).

Almost surely, 2145847560 is an apocalyptic number.

145847560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145847560 is an abundant number, since it is smaller than the sum of its proper divisors (192898040).

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

145847560 is a wasteful number, since it uses less digits than its factorization.

145847560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117661 (or 117657 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 145847560 is about 12076.7363140875. The cubic root of 145847560 is about 526.3804155801.

The spelling of 145847560 in words is "one hundred forty-five million, eight hundred forty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 117619 235238 470476 588095 940952 1176190 2352380 3646189 4704760 7292378 14584756 18230945 29169512 36461890 72923780 145847560