Search a number
-
+
1097928 = 2333131723
BaseRepresentation
bin100001100000011001000
32001210002000
410030003020
5240113203
635311000
712221646
oct4140310
92053060
101097928
1168a987
1244b460
132c5980
14208196
1516a4a3
hex10c0c8

1097928 has 128 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 304128.

The previous prime is 1097923. The next prime is 1097933. The reversal of 1097928 is 8297901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1097923) and next prime (1097933).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1097892 and 1097901.

It is not an unprimeable number, because it can be changed into a prime (1097923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47725 + ... + 47747.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

21097928 is an apocalyptic number.

1097928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1097928 is the 663-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1097928 is an abundant number, since it is smaller than the sum of its proper divisors (2530872).

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

1097928 is a wasteful number, since it uses less digits than its factorization.

1097928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1097928 is about 1047.8205953311. The cubic root of 1097928 is about 103.1631561285.

It can be divided in two parts, 1097 and 928, that added together give a square (2025 = 452).

The spelling of 1097928 in words is "one million, ninety-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 23 24 26 27 34 36 39 46 51 52 54 68 69 72 78 92 102 104 108 117 136 138 153 156 184 204 207 216 221 234 276 299 306 312 351 391 408 414 442 459 468 552 598 612 621 663 702 782 828 884 897 918 936 1173 1196 1224 1242 1326 1404 1564 1656 1768 1794 1836 1989 2346 2392 2484 2652 2691 2808 3128 3519 3588 3672 3978 4692 4968 5083 5304 5382 5967 7038 7176 7956 8073 9384 10166 10557 10764 11934 14076 15249 15912 16146 20332 21114 21528 23868 28152 30498 32292 40664 42228 45747 47736 60996 64584 84456 91494 121992 137241 182988 274482 365976 548964 1097928