Search a number
-
+
1026928 = 24753173
BaseRepresentation
bin11111010101101110000
31221011200101
43322231300
5230330203
634002144
711504650
oct3725560
91834611
101026928
11641601
12416354
1329c566
141ca360
1515441d
hexfab70

1026928 has 40 divisors (see below), whose sum is σ = 2330208. Its totient is φ = 429312.

The previous prime is 1026917. The next prime is 1026941. The reversal of 1026928 is 8296201.

It is a happy number.

It is a super-2 number, since 2×10269282 = 2109162234368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1026896 and 1026905.

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, 5850 + ... + 6022.

21026928 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 1026928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165104).

1026928 is an abundant number, since it is smaller than the sum of its proper divisors (1303280).

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

1026928 is a wasteful number, since it uses less digits than its factorization.

1026928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1026928 is about 1013.3745605648. The cubic root of 1026928 is about 100.8896615511.

The spelling of 1026928 in words is "one million, twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 173 212 346 371 424 692 742 848 1211 1384 1484 2422 2768 2968 4844 5936 9169 9688 18338 19376 36676 64183 73352 128366 146704 256732 513464 1026928