[go: up one dir, main page]

Search a number
-
+
13641216 = 29383107
BaseRepresentation
bin110100000010…
…011000000000
3221200001020020
4310002120000
511443004331
61204213440
7223643211
oct64023000
927601206
1013641216
117777936
12469a280
132a98034
141b51408
1512e6c96
hexd02600

13641216 has 80 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 4450304.

The previous prime is 13641211. The next prime is 13641239. The reversal of 13641216 is 61214631.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13641211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127435 + ... + 127541.

Almost surely, 213641216 is an apocalyptic number.

13641216 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 13641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

13641216 is an abundant number, since it is smaller than the sum of its proper divisors (23481408).

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

13641216 is an equidigital number, since it uses as much as digits as its factorization.

13641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 13641216 is about 3693.4016840847. The cubic root of 13641216 is about 238.9375256138.

Adding to 13641216 its reverse (61214631), we get a palindrome (74855847).

The spelling of 13641216 in words is "thirteen million, six hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 107 128 166 192 214 249 256 321 332 384 428 498 512 642 664 768 856 996 1284 1328 1536 1712 1992 2568 2656 3424 3984 5136 5312 6848 7968 8881 10272 10624 13696 15936 17762 20544 21248 26643 27392 31872 35524 41088 42496 53286 54784 63744 71048 82176 106572 127488 142096 164352 213144 284192 426288 568384 852576 1136768 1705152 2273536 3410304 4547072 6820608 13641216