Search a number
-
+
1369440 = 25335317
BaseRepresentation
bin101001110010101100000
32120120112000
411032111200
5322310230
645204000
714432352
oct5162540
92516460
101369440
11855976
12560600
1338c427
142790d2
151c0b60
hex14e560

1369440 has 96 divisors (see below), whose sum is σ = 4808160. Its totient is φ = 364032.

The previous prime is 1369429. The next prime is 1369451. The reversal of 1369440 is 449631.

It is an interprime number because it is at equal distance from previous prime (1369429) and next prime (1369451).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4162 + ... + 4478.

It is an arithmetic number, because the mean of its divisors is an integer number (50085).

21369440 is an apocalyptic number.

1369440 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 1369440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404080).

1369440 is an abundant number, since it is smaller than the sum of its proper divisors (3438720).

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

1369440 is a wasteful number, since it uses less digits than its factorization.

1369440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1369440 is about 1170.2307464770. The cubic root of 1369440 is about 111.0489192701.

The spelling of 1369440 in words is "one million, three hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 317 360 432 480 540 634 720 864 951 1080 1268 1440 1585 1902 2160 2536 2853 3170 3804 4320 4755 5072 5706 6340 7608 8559 9510 10144 11412 12680 14265 15216 17118 19020 22824 25360 28530 30432 34236 38040 42795 45648 50720 57060 68472 76080 85590 91296 114120 136944 152160 171180 228240 273888 342360 456480 684720 1369440