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13988576 = 257197317
BaseRepresentation
bin110101010111…
…001011100000
3222022200201102
4311113023200
512040113301
61215453532
7226621010
oct65271340
928280642
1013988576
117994908
1248272a8
132b8a184
141c01c40
151364b6b
hexd572e0

13988576 has 48 divisors (see below), whose sum is σ = 31733856. Its totient is φ = 5945856.

The previous prime is 13988561. The next prime is 13988591. The reversal of 13988576 is 67588931.

It is a happy number.

13988576 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13988561) and next prime (13988591).

13988576 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 13988576.

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, 43970 + ... + 44286.

It is an arithmetic number, because the mean of its divisors is an integer number (661122).

Almost surely, 213988576 is an apocalyptic number.

13988576 is a gapful number since it is divisible by the number (16) 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 13988576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15866928).

13988576 is an abundant number, since it is smaller than the sum of its proper divisors (17745280).

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

13988576 is a wasteful number, since it uses less digits than its factorization.

13988576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its digits is 362880, while the sum is 47.

The square root of 13988576 is about 3740.1304790074. The cubic root of 13988576 is about 240.9486527087.

The spelling of 13988576 in words is "thirteen million, nine hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 197 224 317 394 634 788 1268 1379 1576 2219 2536 2758 3152 4438 5072 5516 6304 8876 10144 11032 17752 22064 35504 44128 62449 71008 124898 249796 437143 499592 874286 999184 1748572 1998368 3497144 6994288 13988576