Search a number
-
+
1913688 = 233273797
BaseRepresentation
bin111010011001101011000
310121020002100
413103031120
5442214223
6105003400
722160160
oct7231530
93536070
101913688
111097867
12783560
1352007a
1437b5a0
1527c043
hex1d3358

1913688 has 48 divisors (see below), whose sum is σ = 5924880. Its totient is φ = 546624.

The previous prime is 1913687. The next prime is 1913701. The reversal of 1913688 is 8863191.

It is a super-2 number, since 2×19136882 = 7324403522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (1913683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1395 + ... + 2402.

It is an arithmetic number, because the mean of its divisors is an integer number (123435).

21913688 is an apocalyptic number.

1913688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1913688 is an abundant number, since it is smaller than the sum of its proper divisors (4011192).

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

1913688 is a wasteful number, since it uses less digits than its factorization.

1913688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3809 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1913688 is about 1383.3611242188. The cubic root of 1913688 is about 124.1529503539.

It can be divided in two parts, 1913 and 688, that added together give a square (2601 = 512).

The spelling of 1913688 in words is "one million, nine hundred thirteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 3797 7594 11391 15188 22782 26579 30376 34173 45564 53158 68346 79737 91128 106316 136692 159474 212632 239211 273384 318948 478422 637896 956844 1913688