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1230768 = 243371137
BaseRepresentation
bin100101100011110110000
32022112022000
410230132300
5303341033
642214000
713314150
oct4543660
92275260
101230768
11770770
124b4300
13341286
14240760
15194a13
hex12c7b0

1230768 has 160 divisors (see below), whose sum is σ = 4523520. Its totient is φ = 311040.

The previous prime is 1230751. The next prime is 1230769. The reversal of 1230768 is 8670321.

It is a Harshad number since it is a multiple of its sum of digits (27).

1230768 is a Rhonda number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230769) 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, 33246 + ... + 33282.

It is an arithmetic number, because the mean of its divisors is an integer number (28272).

21230768 is an apocalyptic number.

1230768 is a gapful number since it is divisible by the number (18) 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 1230768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261760).

1230768 is an abundant number, since it is smaller than the sum of its proper divisors (3292752).

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

1230768 is a wasteful number, since it uses less digits than its factorization.

1230768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1230768 is about 1109.3998377501. The cubic root of 1230768 is about 107.1664222453.

The spelling of 1230768 in words is "one million, two hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 37 42 44 48 54 56 63 66 72 74 77 84 88 99 108 111 112 126 132 144 148 154 168 176 189 198 216 222 231 252 259 264 296 297 308 333 336 378 396 407 432 444 462 504 518 528 592 594 616 666 693 756 777 792 814 888 924 999 1008 1036 1188 1221 1232 1332 1386 1512 1554 1584 1628 1776 1848 1998 2072 2079 2331 2376 2442 2664 2772 2849 3024 3108 3256 3663 3696 3996 4144 4158 4662 4752 4884 5328 5544 5698 6216 6512 6993 7326 7992 8316 8547 9324 9768 10989 11088 11396 12432 13986 14652 15984 16632 17094 18648 19536 21978 22792 25641 27972 29304 33264 34188 37296 43956 45584 51282 55944 58608 68376 76923 87912 102564 111888 136752 153846 175824 205128 307692 410256 615384 1230768