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1230240 = 253511233
BaseRepresentation
bin100101100010110100000
32022111120110
410230112200
5303331430
642211320
713312464
oct4542640
92274513
101230240
11770330
124b3b40
13340c6b
142404a4
151947b0
hex12c5a0

1230240 has 96 divisors (see below), whose sum is σ = 4245696. Its totient is φ = 296960.

The previous prime is 1230233. The next prime is 1230241. The reversal of 1230240 is 420321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1230241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5164 + ... + 5396.

It is an arithmetic number, because the mean of its divisors is an integer number (44226).

21230240 is an apocalyptic number.

1230240 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 1230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122848).

1230240 is an abundant number, since it is smaller than the sum of its proper divisors (3015456).

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

1230240 is a wasteful number, since it uses less digits than its factorization.

1230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1230240 is about 1109.1618457196. The cubic root of 1230240 is about 107.1510952396.

Adding to 1230240 its reverse (420321), we get a palindrome (1650561).

The spelling of 1230240 in words is "one million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 233 240 264 330 352 440 466 480 528 660 699 880 932 1056 1165 1320 1398 1760 1864 2330 2563 2640 2796 3495 3728 4660 5126 5280 5592 6990 7456 7689 9320 10252 11184 12815 13980 15378 18640 20504 22368 25630 27960 30756 37280 38445 41008 51260 55920 61512 76890 82016 102520 111840 123024 153780 205040 246048 307560 410080 615120 1230240