Search a number
-
+
148656 = 24319163
BaseRepresentation
bin100100010010110000
321112220210
4210102300
514224111
63104120
71156254
oct442260
9245823
10148656
11a1762
1272040
1352881
143c264
152e0a6
hex244b0

148656 has 40 divisors (see below), whose sum is σ = 406720. Its totient is φ = 46656.

The previous prime is 148639. The next prime is 148663. The reversal of 148656 is 656841.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148656.

It is an unprimeable number.

148656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (10168).

2148656 is an apocalyptic number.

148656 is a gapful number since it is divisible by the number (16) 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 148656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203360).

148656 is an abundant number, since it is smaller than the sum of its proper divisors (258064).

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

148656 is a wasteful number, since it uses less digits than its factorization.

148656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 148656 is about 385.5593339552. The cubic root of 148656 is about 52.9737617842.

The spelling of 148656 in words is "one hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 163 228 304 326 456 489 652 912 978 1304 1956 2608 3097 3912 6194 7824 9291 12388 18582 24776 37164 49552 74328 148656