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1149264 = 243223347
BaseRepresentation
bin100011000100101010000
32011101111100
410120211100
5243234024
640344400
712524424
oct4304520
92141440
101149264
11715506
12475100
1331314c
1421cb84
1517a7c9
hex118950

1149264 has 60 divisors (see below), whose sum is σ = 3365856. Its totient is φ = 365376.

The previous prime is 1149259. The next prime is 1149283. The reversal of 1149264 is 4629411.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3139 + ... + 3485.

21149264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682928).

1149264 is an abundant number, since it is smaller than the sum of its proper divisors (2216592).

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

1149264 is a wasteful number, since it uses less digits than its factorization.

1149264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1149264 is about 1072.0373127835. The cubic root of 1149264 is about 104.7465998368.

The spelling of 1149264 in words is "one million, one hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 347 368 414 552 694 828 1041 1104 1388 1656 2082 2776 3123 3312 4164 5552 6246 7981 8328 12492 15962 16656 23943 24984 31924 47886 49968 63848 71829 95772 127696 143658 191544 287316 383088 574632 1149264