Search a number
-
+
13882914 = 23417712
BaseRepresentation
bin110100111101…
…011000100010
3222010022210000
4310331120202
512023223124
61213320430
7226000653
oct64753042
928108700
1013882914
117922491
124796116
132b51056
141bb552a
1513436c9
hexd3d622

13882914 has 60 divisors (see below), whose sum is σ = 33408342. Its totient is φ = 4294080.

The previous prime is 13882879. The next prime is 13882949. The reversal of 13882914 is 41928831.

13882914 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 an interprime number because it is at equal distance from previous prime (13882879) and next prime (13882949).

It can be written as a sum of positive squares in only one way, i.e., 10208025 + 3674889 = 3195^2 + 1917^2 .

It is a super-2 number, since 2×138829142 = 385470602262792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 195499 + ... + 195569.

Almost surely, 213882914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13882914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704171).

13882914 is an abundant number, since it is smaller than the sum of its proper divisors (19525428).

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

13882914 is an equidigital number, since it uses as much as digits as its factorization.

13882914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 93 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13882914 is about 3725.9782608061. The cubic root of 13882914 is about 240.3404543169.

The spelling of 13882914 in words is "thirteen million, eight hundred eighty-two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 71 81 102 142 153 162 213 306 426 459 639 918 1207 1278 1377 1917 2414 2754 3621 3834 5041 5751 7242 10082 10863 11502 15123 21726 30246 32589 45369 65178 85697 90738 97767 136107 171394 195534 257091 272214 408321 514182 771273 816642 1542546 2313819 4627638 6941457 13882914