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1122408 = 2332717131
BaseRepresentation
bin100010010000001101000
32010000122200
410102001220
5241404113
640020200
712353220
oct4220150
92100580
101122408
116a7311
12461660
13303b61
14213080
15172873
hex112068

1122408 has 96 divisors (see below), whose sum is σ = 3706560. Its totient is φ = 299520.

The previous prime is 1122397. The next prime is 1122419. The reversal of 1122408 is 8042211.

It is an interprime number because it is at equal distance from previous prime (1122397) and next prime (1122419).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8503 + ... + 8633.

It is an arithmetic number, because the mean of its divisors is an integer number (38610).

21122408 is an apocalyptic number.

1122408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1122408 is the 612-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853280).

1122408 is an abundant number, since it is smaller than the sum of its proper divisors (2584152).

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

1122408 is a wasteful number, since it uses less digits than its factorization.

1122408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1122408 is about 1059.4375866468. The cubic root of 1122408 is about 103.9242545110.

Adding to 1122408 its reverse (8042211), we get a palindrome (9164619).

The spelling of 1122408 in words is "one million, one hundred twenty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 131 136 153 168 204 238 252 262 306 357 393 408 476 504 524 612 714 786 917 952 1048 1071 1179 1224 1428 1572 1834 2142 2227 2358 2751 2856 3144 3668 4284 4454 4716 5502 6681 7336 8253 8568 8908 9432 11004 13362 15589 16506 17816 20043 22008 26724 31178 33012 40086 46767 53448 62356 66024 80172 93534 124712 140301 160344 187068 280602 374136 561204 1122408