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13978040 = 235734787
BaseRepresentation
bin110101010100…
…100110111000
3222022011021012
4311110212320
512034244130
61215333052
7226545206
oct65244670
928264235
1013978040
1179879aa
124821188
132b8543b
141bdc076
151361995
hexd549b8

13978040 has 32 divisors (see below), whose sum is σ = 31888080. Its totient is φ = 5513472.

The previous prime is 13978033. The next prime is 13978057. The reversal of 13978040 is 4087931.

13978040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13977988 and 13978006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527 + ... + 5313.

Almost surely, 213978040 is an apocalyptic number.

13978040 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 13978040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944040).

13978040 is an abundant number, since it is smaller than the sum of its proper divisors (17910040).

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

13978040 is a wasteful number, since it uses less digits than its factorization.

13978040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13978040 is about 3738.7217066800. The cubic root of 13978040 is about 240.8881444619. Note that the first 3 decimals are identical.

The spelling of 13978040 in words is "thirteen million, nine hundred seventy-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 4787 9574 19148 23935 38296 47870 95740 191480 349451 698902 1397804 1747255 2795608 3494510 6989020 13978040