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1098020 = 2257112331
BaseRepresentation
bin100001100000100100100
32001210012102
410030010210
5240114040
635311232
712222140
oct4140444
92053172
101098020
1168aa60
1244b518
132c5a21
14208220
1516a515
hex10c124

1098020 has 96 divisors (see below), whose sum is σ = 3096576. Its totient is φ = 316800.

The previous prime is 1098017. The next prime is 1098023. The reversal of 1098020 is 208901.

It is an interprime number because it is at equal distance from previous prime (1098017) and next prime (1098023).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1097983 and 1098001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098023) 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, 35405 + ... + 35435.

It is an arithmetic number, because the mean of its divisors is an integer number (32256).

21098020 is an apocalyptic number.

1098020 is a gapful number since it is divisible by the number (10) 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 1098020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548288).

1098020 is an abundant number, since it is smaller than the sum of its proper divisors (1998556).

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

1098020 is a wasteful number, since it uses less digits than its factorization.

1098020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1098020 is about 1047.8644950565. The cubic root of 1098020 is about 103.1660375394.

The spelling of 1098020 in words is "one million, ninety-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 31 35 44 46 55 62 70 77 92 110 115 124 140 154 155 161 217 220 230 253 308 310 322 341 385 434 460 506 620 644 682 713 770 805 868 1012 1085 1265 1364 1426 1540 1610 1705 1771 2170 2387 2530 2852 3220 3410 3542 3565 4340 4774 4991 5060 6820 7084 7130 7843 8855 9548 9982 11935 14260 15686 17710 19964 23870 24955 31372 35420 39215 47740 49910 54901 78430 99820 109802 156860 219604 274505 549010 1098020