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1389696 = 27371147
BaseRepresentation
bin101010011010010000000
32121121022020
411103102000
5323432241
645441440
714545410
oct5232200
92547266
101389696
1186a110
12570280
13398709
14282640
151c6b66
hex153480

1389696 has 128 divisors (see below), whose sum is σ = 4700160. Its totient is φ = 353280.

The previous prime is 1389677. The next prime is 1389697. The reversal of 1389696 is 6969831.

1389696 = T81 + T82 + ... + T206.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1389697) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29545 + ... + 29591.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

21389696 is an apocalyptic number.

1389696 is a gapful number since it is divisible by the number (16) 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 1389696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350080).

1389696 is an abundant number, since it is smaller than the sum of its proper divisors (3310464).

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

1389696 is a wasteful number, since it uses less digits than its factorization.

1389696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 1389696 is about 1178.8536804880. The cubic root of 1389696 is about 111.5937664328.

The spelling of 1389696 in words is "one million, three hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 47 48 56 64 66 77 84 88 94 96 112 128 132 141 154 168 176 188 192 224 231 264 282 308 329 336 352 376 384 448 462 517 528 564 616 658 672 704 752 896 924 987 1034 1056 1128 1232 1316 1344 1408 1504 1551 1848 1974 2068 2112 2256 2464 2632 2688 3008 3102 3619 3696 3948 4136 4224 4512 4928 5264 6016 6204 7238 7392 7896 8272 9024 9856 10528 10857 12408 14476 14784 15792 16544 18048 21056 21714 24816 28952 29568 31584 33088 42112 43428 49632 57904 63168 66176 86856 99264 115808 126336 173712 198528 231616 347424 463232 694848 1389696