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1102416 = 243717193
BaseRepresentation
bin100001101001001010000
32002000020020
410031021100
5240234131
635343440
712241020
oct4151120
92060206
101102416
11693297
12451b80
132c7a23
14209a80
1516b996
hex10d250

1102416 has 80 divisors (see below), whose sum is σ = 3464064. Its totient is φ = 294912.

The previous prime is 1102411. The next prime is 1102427. The reversal of 1102416 is 6142011.

It is a junction number, because it is equal to n+sod(n) for n = 1102395 and 1102404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5616 + ... + 5808.

21102416 is an apocalyptic number.

1102416 is a gapful number since it is divisible by the number (16) 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 1102416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732032).

1102416 is an abundant number, since it is smaller than the sum of its proper divisors (2361648).

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

1102416 is a wasteful number, since it uses less digits than its factorization.

1102416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1102416 is about 1049.9599992381. The cubic root of 1102416 is about 103.3035316996.

Adding to 1102416 its reverse (6142011), we get a palindrome (7244427).

The spelling of 1102416 in words is "one million, one hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 193 204 238 272 336 357 386 408 476 579 714 772 816 952 1158 1351 1428 1544 1904 2316 2702 2856 3088 3281 4053 4632 5404 5712 6562 8106 9264 9843 10808 13124 16212 19686 21616 22967 26248 32424 39372 45934 52496 64848 68901 78744 91868 137802 157488 183736 275604 367472 551208 1102416