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13978416 = 243291217
BaseRepresentation
bin110101010100…
…101100110000
3222022011210010
4311110230300
512034302131
61215334520
7226546254
oct65245460
928264703
1013978416
117988211
124821440
132b8566a
141bdc264
151361b46
hexd54b30

13978416 has 20 divisors (see below), whose sum is σ = 36111032. Its totient is φ = 4659456.

The previous prime is 13978337. The next prime is 13978421. The reversal of 13978416 is 61487931.

It is a super-3 number, since 3×139784163 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 145561 + ... + 145656.

Almost surely, 213978416 is an apocalyptic number.

13978416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13978416 is an abundant number, since it is smaller than the sum of its proper divisors (22132616).

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

13978416 is a wasteful number, since it uses less digits than its factorization.

13978416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291228 (or 291222 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 13978416 is about 3738.7719909082. The cubic root of 13978416 is about 240.8903043529.

The spelling of 13978416 in words is "thirteen million, nine hundred seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 291217 582434 873651 1164868 1747302 2329736 3494604 4659472 6989208 13978416