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971232 = 25367151
BaseRepresentation
bin11101101000111100000
31211100021120
43231013200
5222034412
632452240
711153403
oct3550740
91740246
10971232
11603779
123aa080
132800c2
141b3d3a
15142b8c
hexed1e0

971232 has 48 divisors (see below), whose sum is σ = 2604672. Its totient is φ = 316800.

The previous prime is 971207. The next prime is 971237. The reversal of 971232 is 232179.

971232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971237) by changing a digit.

971232 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, 6357 + ... + 6507.

It is an arithmetic number, because the mean of its divisors is an integer number (54264).

2971232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302336).

971232 is an abundant number, since it is smaller than the sum of its proper divisors (1633440).

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

971232 is a wasteful number, since it uses less digits than its factorization.

971232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 971232 is about 985.5110349458. The cubic root of 971232 is about 99.0317212908.

The spelling of 971232 in words is "nine hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 151 201 268 302 402 453 536 604 804 906 1072 1208 1608 1812 2144 2416 3216 3624 4832 6432 7248 10117 14496 20234 30351 40468 60702 80936 121404 161872 242808 323744 485616 971232