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1230460 = 2257111747
BaseRepresentation
bin100101100011001111100
32022111212121
410230121330
5303333320
642212324
713313230
oct4543174
92274777
101230460
11770510
124b40a4
133410aa
142405c0
151948aa
hex12c67c

1230460 has 96 divisors (see below), whose sum is σ = 3483648. Its totient is φ = 353280.

The previous prime is 1230433. The next prime is 1230461. The reversal of 1230460 is 640321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26157 + ... + 26203.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

21230460 is an apocalyptic number.

1230460 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 1230460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824).

1230460 is an abundant number, since it is smaller than the sum of its proper divisors (2253188).

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

1230460 is a wasteful number, since it uses less digits than its factorization.

1230460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1230460 is about 1109.2610152710. The cubic root of 1230460 is about 107.1574820248.

Adding to 1230460 its reverse (640321), we get a palindrome (1870781).

The spelling of 1230460 in words is "one million, two hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 47 55 68 70 77 85 94 110 119 140 154 170 187 188 220 235 238 308 329 340 374 385 470 476 517 595 658 748 770 799 935 940 1034 1190 1309 1316 1540 1598 1645 1870 2068 2380 2585 2618 3196 3290 3619 3740 3995 5170 5236 5593 6545 6580 7238 7990 8789 10340 11186 13090 14476 15980 17578 18095 22372 26180 27965 35156 36190 43945 55930 61523 72380 87890 111860 123046 175780 246092 307615 615230 1230460