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13494940 = 22517192089
BaseRepresentation
bin110011011110…
…101010011100
3221101121120121
4303132222130
511423314230
61201124324
7222463564
oct63365234
927347517
1013494940
117687a48
1246296a4
132a46594
141b13da4
1512b877a
hexcdea9c

13494940 has 48 divisors (see below), whose sum is σ = 31600800. Its totient is φ = 4810752.

The previous prime is 13494919. The next prime is 13494941. The reversal of 13494940 is 4949431.

It is a super-2 number, since 2×134949402 = 364226811207200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 13494896 and 13494905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13494941) 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, 5416 + ... + 7504.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 213494940 is an apocalyptic number.

13494940 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 13494940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800400).

13494940 is an abundant number, since it is smaller than the sum of its proper divisors (18105860).

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

13494940 is a wasteful number, since it uses less digits than its factorization.

13494940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 13494940 is about 3673.5459708570. The cubic root of 13494940 is about 238.0804050061.

The spelling of 13494940 in words is "thirteen million, four hundred ninety-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 2089 3230 4178 6460 8356 10445 20890 35513 39691 41780 71026 79382 142052 158764 177565 198455 355130 396910 674747 710260 793820 1349494 2698988 3373735 6747470 13494940