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13995576 = 2332723967
BaseRepresentation
bin110101011000…
…111000111000
3222100001022200
4311120320320
512040324301
61215550200
7226650300
oct65307070
928301280
1013995576
11799a0a1
12482b360
132b9040a
141c04600
151366c86
hexd58e38

13995576 has 72 divisors (see below), whose sum is σ = 44104320. Its totient is φ = 3997728.

The previous prime is 13995557. The next prime is 13995577. The reversal of 13995576 is 67559931.

13995576 is a `hidden beast` number, since 1 + 3 + 99 + 557 + 6 = 666.

13995576 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×139955762 = 391752295143552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13995577) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1545 + ... + 5511.

It is an arithmetic number, because the mean of its divisors is an integer number (612560).

Almost surely, 213995576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13995576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052160).

13995576 is an abundant number, since it is smaller than the sum of its proper divisors (30108744).

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

13995576 is a wasteful number, since it uses less digits than its factorization.

13995576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3979 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 13995576 is about 3741.0661581961. The cubic root of 13995576 is about 240.9888369111.

The spelling of 13995576 in words is "thirteen million, nine hundred ninety-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 3967 7934 11901 15868 23802 27769 31736 35703 47604 55538 71406 83307 95208 111076 142812 166614 194383 222152 249921 285624 333228 388766 499842 583149 666456 777532 999684 1166298 1555064 1749447 1999368 2332596 3498894 4665192 6997788 13995576