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1145040 = 243513367
BaseRepresentation
bin100010111100011010000
32011011200220
410113203100
5243120130
640313040
712506211
oct4274320
92134626
101145040
11712316
12472780
13311250
1421b408
15179410
hex1178d0

1145040 has 80 divisors (see below), whose sum is σ = 3833088. Its totient is φ = 281088.

The previous prime is 1145021. The next prime is 1145057. The reversal of 1145040 is 405411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11450402 = 2622233203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2937 + ... + 3303.

21145040 is an apocalyptic number.

1145040 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 1145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916544).

1145040 is an abundant number, since it is smaller than the sum of its proper divisors (2688048).

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

1145040 is a wasteful number, since it uses less digits than its factorization.

1145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1145040 is about 1070.0654185609. The cubic root of 1145040 is about 104.6181138938.

The spelling of 1145040 in words is "one million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 367 390 520 624 734 780 1040 1101 1468 1560 1835 2202 2936 3120 3670 4404 4771 5505 5872 7340 8808 9542 11010 14313 14680 17616 19084 22020 23855 28626 29360 38168 44040 47710 57252 71565 76336 88080 95420 114504 143130 190840 229008 286260 381680 572520 1145040