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1313928 = 233371179
BaseRepresentation
bin101000000110010001000
32110202101000
411000302020
5314021203
644055000
714111460
oct5006210
92422330
101313928
118181a0
12534460
13370095
14262ba0
151ae4a3
hex140c88

1313928 has 128 divisors (see below), whose sum is σ = 4608000. Its totient is φ = 336960.

The previous prime is 1313911. The next prime is 1313929. The reversal of 1313928 is 8293131.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16593 + ... + 16671.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

21313928 is an apocalyptic number.

1313928 is a gapful number since it is divisible by the number (18) 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 1313928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304000).

1313928 is an abundant number, since it is smaller than the sum of its proper divisors (3294072).

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

1313928 is a wasteful number, since it uses less digits than its factorization.

1313928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1313928 is about 1146.2669846070. The cubic root of 1313928 is about 109.5276717455.

The spelling of 1313928 in words is "one million, three hundred thirteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 79 84 88 99 108 126 132 154 158 168 189 198 216 231 237 252 264 297 308 316 378 396 462 474 504 553 594 616 632 693 711 756 792 869 924 948 1106 1188 1386 1422 1512 1659 1738 1848 1896 2079 2133 2212 2376 2607 2772 2844 3318 3476 4158 4266 4424 4977 5214 5544 5688 6083 6636 6952 7821 8316 8532 9954 10428 12166 13272 14931 15642 16632 17064 18249 19908 20856 23463 24332 29862 31284 36498 39816 46926 48664 54747 59724 62568 72996 93852 109494 119448 145992 164241 187704 218988 328482 437976 656964 1313928