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1146285 = 33571213
BaseRepresentation
bin100010111110110101101
32011020102000
410113312231
5243140120
640322513
712512640
oct4276655
92136360
101146285
11713248
12473439
1331199a
1421ba57
15179990
hex117dad

1146285 has 32 divisors (see below), whose sum is σ = 2330880. Its totient is φ = 523584.

The previous prime is 1146281. The next prime is 1146307. The reversal of 1146285 is 5826411.

It is not a de Polignac number, because 1146285 - 22 = 1146281 is a prime.

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

1146285 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339 + ... + 1551.

It is an arithmetic number, because the mean of its divisors is an integer number (72840).

21146285 is an apocalyptic number.

1146285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1146285 is an abundant number, since it is smaller than the sum of its proper divisors (1184595).

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

1146285 is a wasteful number, since it uses less digits than its factorization.

1146285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1228 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1146285 is about 1070.6470006496. The cubic root of 1146285 is about 104.6560171908.

It can be divided in two parts, 1146 and 285, that added together give a triangular number (1431 = T53).

The spelling of 1146285 in words is "one million, one hundred forty-six thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1213 3639 6065 8491 10917 18195 25473 32751 42455 54585 76419 127365 163755 229257 382095 1146285