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1201928 = 237132127
BaseRepresentation
bin100100101011100001000
32021001201212
410211130020
5301430203
641432252
713134110
oct4453410
92231655
101201928
11751032
1249b688
13331100
14234040
1518b1d8
hex125708

1201928 has 48 divisors (see below), whose sum is σ = 2810880. Its totient is φ = 471744.

The previous prime is 1201919. The next prime is 1201939. The reversal of 1201928 is 8291021.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9401 + ... + 9527.

It is an arithmetic number, because the mean of its divisors is an integer number (58560).

21201928 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 1201928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405440).

1201928 is an abundant number, since it is smaller than the sum of its proper divisors (1608952).

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

1201928 is a wasteful number, since it uses less digits than its factorization.

1201928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1201928 is about 1096.3247694000. The cubic root of 1201928 is about 106.3227377363.

Adding to 1201928 its reverse (8291021), we get a palindrome (9492949).

It can be divided in two parts, 120 and 1928, that added together give a 11-th power (2048 = 211).

The spelling of 1201928 in words is "one million, two hundred one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 127 169 182 254 338 364 508 676 728 889 1016 1183 1352 1651 1778 2366 3302 3556 4732 6604 7112 9464 11557 13208 21463 23114 42926 46228 85852 92456 150241 171704 300482 600964 1201928