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1141440 = 26352941
BaseRepresentation
bin100010110101011000000
32010222202120
410112223000
5243011230
640244240
712462546
oct4265300
92128676
101141440
1170a643
12470680
1330c711
14219d96
15178310
hex116ac0

1141440 has 112 divisors (see below), whose sum is σ = 3840480. Its totient is φ = 286720.

The previous prime is 1141423. The next prime is 1141447. The reversal of 1141440 is 441411.

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

It is not an unprimeable number, because it can be changed into a prime (1141447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27820 + ... + 27860.

It is an arithmetic number, because the mean of its divisors is an integer number (34290).

21141440 is an apocalyptic number.

1141440 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 1141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920240).

1141440 is an abundant number, since it is smaller than the sum of its proper divisors (2699040).

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

1141440 is a wasteful number, since it uses less digits than its factorization.

1141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1141440 is about 1068.3819541718. The cubic root of 1141440 is about 104.5083591827.

Adding to 1141440 its reverse (441411), we get a palindrome (1582851).

The spelling of 1141440 in words is "one million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 41 48 58 60 64 80 82 87 96 116 120 123 145 160 164 174 192 205 232 240 246 290 320 328 348 410 435 464 480 492 580 615 656 696 820 870 928 960 984 1160 1189 1230 1312 1392 1640 1740 1856 1968 2320 2378 2460 2624 2784 3280 3480 3567 3936 4640 4756 4920 5568 5945 6560 6960 7134 7872 9280 9512 9840 11890 13120 13920 14268 17835 19024 19680 23780 27840 28536 35670 38048 39360 47560 57072 71340 76096 95120 114144 142680 190240 228288 285360 380480 570720 1141440