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159216 = 24331107
BaseRepresentation
bin100110110111110000
322002101220
4212313300
520043331
63225040
71232121
oct466760
9262356
10159216
11a9692
1278180
1357615
1442048
1532296
hex26df0

159216 has 40 divisors (see below), whose sum is σ = 428544. Its totient is φ = 50880.

The previous prime is 159209. The next prime is 159223. The reversal of 159216 is 612951.

159216 = T133 + T134 + ... + T148.

159216 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (159209) and next prime (159223).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1435 + ... + 1541.

2159216 is an apocalyptic number.

159216 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 159216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272).

159216 is an abundant number, since it is smaller than the sum of its proper divisors (269328).

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

159216 is a wasteful number, since it uses less digits than its factorization.

159216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 159216 is about 399.0187965497. The cubic root of 159216 is about 54.1995361316.

The spelling of 159216 in words is "one hundred fifty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 107 124 186 214 248 321 372 428 496 642 744 856 1284 1488 1712 2568 3317 5136 6634 9951 13268 19902 26536 39804 53072 79608 159216