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1393728 = 26371761
BaseRepresentation
bin101010100010001000000
32121210211120
411110101000
5324044403
645512240
714563230
oct5242100
92553746
101393728
11872146
12572680
1339a4bb
14283cc0
151c7e53
hex154440

1393728 has 112 divisors (see below), whose sum is σ = 4535424. Its totient is φ = 368640.

The previous prime is 1393723. The next prime is 1393739. The reversal of 1393728 is 8273931.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393723) 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, 22818 + ... + 22878.

21393728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267712).

1393728 is an abundant number, since it is smaller than the sum of its proper divisors (3141696).

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

1393728 is a wasteful number, since it uses less digits than its factorization.

1393728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 1393728 is about 1180.5625777569. The cubic root of 1393728 is about 111.7015865641.

The spelling of 1393728 in words is "one million, three hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 61 64 68 84 96 102 112 119 122 136 168 183 192 204 224 238 244 272 336 357 366 408 427 448 476 488 544 672 714 732 816 854 952 976 1037 1088 1281 1344 1428 1464 1632 1708 1904 1952 2074 2562 2856 2928 3111 3264 3416 3808 3904 4148 5124 5712 5856 6222 6832 7259 7616 8296 10248 11424 11712 12444 13664 14518 16592 20496 21777 22848 24888 27328 29036 33184 40992 43554 49776 58072 66368 81984 87108 99552 116144 174216 199104 232288 348432 464576 696864 1393728