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148560 = 2435619
BaseRepresentation
bin100100010001010000
321112210020
4210101100
514223220
63103440
71156056
oct442120
9245706
10148560
11a1685
1271b80
1352809
143c1d6
152e040
hex24450

148560 has 40 divisors (see below), whose sum is σ = 461280. Its totient is φ = 39552.

The previous prime is 148549. The next prime is 148573. The reversal of 148560 is 65841.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 148560.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148560.

It is an unprimeable number.

148560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (11532).

2148560 is an apocalyptic number.

148560 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 148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230640).

148560 is an abundant number, since it is smaller than the sum of its proper divisors (312720).

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

148560 is a wasteful number, since it uses less digits than its factorization.

148560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 148560 is about 385.4348193923. The cubic root of 148560 is about 52.9623560864.

The spelling of 148560 in words is "one hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 619 1238 1857 2476 3095 3714 4952 6190 7428 9285 9904 12380 14856 18570 24760 29712 37140 49520 74280 148560