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1144980 = 223256361
BaseRepresentation
bin100010111100010010100
32011011121200
410113202110
5243114410
640312500
712506064
oct4274224
92134550
101144980
11712271
12472730
13311205
1421b3a4
151793c0
hex117894

1144980 has 36 divisors (see below), whose sum is σ = 3473652. Its totient is φ = 305280.

The previous prime is 1144973. The next prime is 1144981. The reversal of 1144980 is 894411.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 799236 = 588^2 + 894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3001 + ... + 3360.

21144980 is an apocalyptic number.

1144980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144980 is an abundant number, since it is smaller than the sum of its proper divisors (2328672).

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

1144980 is a wasteful number, since it uses less digits than its factorization.

1144980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1144980 is about 1070.0373825246. The cubic root of 1144980 is about 104.6162865351.

Subtracting from 1144980 its product of nonzero digits (1152), we obtain a triangular number (1143828 = T1512).

The spelling of 1144980 in words is "one million, one hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6361 12722 19083 25444 31805 38166 57249 63610 76332 95415 114498 127220 190830 228996 286245 381660 572490 1144980