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1146264 = 23376823
BaseRepresentation
bin100010111110110011000
32011020101020
410113312120
5243140024
640322440
712512610
oct4276630
92136336
101146264
11713229
12473420
13311982
1421ba40
15179979
hex117d98

1146264 has 32 divisors (see below), whose sum is σ = 3275520. Its totient is φ = 327456.

The previous prime is 1146263. The next prime is 1146281. The reversal of 1146264 is 4626411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146263) 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 7 ways as a sum of consecutive naturals, for example, 3244 + ... + 3579.

It is an arithmetic number, because the mean of its divisors is an integer number (102360).

21146264 is an apocalyptic number.

1146264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1146264 is an abundant number, since it is smaller than the sum of its proper divisors (2129256).

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

1146264 is a wasteful number, since it uses less digits than its factorization.

1146264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6839 (or 6835 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1146264 is about 1070.6371934507. The cubic root of 1146264 is about 104.6553780857.

The spelling of 1146264 in words is "one million, one hundred forty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 6823 13646 20469 27292 40938 47761 54584 81876 95522 143283 163752 191044 286566 382088 573132 1146264