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1106490 = 235711479
BaseRepresentation
bin100001110001000111010
32002012211010
410032020322
5240401430
635414350
712255630
oct4161072
92065733
101106490
11696360
124543b6
132c9838
1420b350
1516ccb0
hex10e23a

1106490 has 64 divisors (see below), whose sum is σ = 3317760. Its totient is φ = 229440.

The previous prime is 1106489. The next prime is 1106491. The reversal of 1106490 is 946011.

It is an interprime number because it is at equal distance from previous prime (1106489) and next prime (1106491).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106491) 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, 2071 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (51840).

21106490 is an apocalyptic number.

1106490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658880).

1106490 is an abundant number, since it is smaller than the sum of its proper divisors (2211270).

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

1106490 is a wasteful number, since it uses less digits than its factorization.

1106490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1106490 is about 1051.8982840560. The cubic root of 1106490 is about 103.4306286756.

It can be divided in two parts, 1106 and 490, that added together give a triangular number (1596 = T56).

The spelling of 1106490 in words is "one million, one hundred six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 479 770 958 1155 1437 2310 2395 2874 3353 4790 5269 6706 7185 10059 10538 14370 15807 16765 20118 26345 31614 33530 36883 50295 52690 73766 79035 100590 110649 158070 184415 221298 368830 553245 1106490