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5121216 = 263217523
BaseRepresentation
bin10011100010010011000000
3100122011222200
4103202103000
52302334331
6301433200
761346442
oct23422300
910564880
105121216
112988711
12186b800
1310a4009
14974492
156b25e6
hex4e24c0

5121216 has 84 divisors (see below), whose sum is σ = 15572232. Its totient is φ = 1603584.

The previous prime is 5121211. The next prime is 5121223. The reversal of 5121216 is 6121215.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5121211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9531 + ... + 10053.

Almost surely, 25121216 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 5121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786116).

5121216 is an abundant number, since it is smaller than the sum of its proper divisors (10451016).

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

5121216 is a wasteful number, since it uses less digits than its factorization.

5121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 545 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 5121216 is about 2263.0103844216. The cubic root of 5121216 is about 172.3684188755.

Subtracting 5121216 from its reverse (6121215), we obtain a palindrome (999999).

It can be divided in two parts, 512 and 1216, that added together give a cube (1728 = 123).

The spelling of 5121216 in words is "five million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 523 544 576 612 816 1046 1088 1224 1569 1632 2092 2448 3138 3264 4184 4707 4896 6276 8368 8891 9414 9792 12552 16736 17782 18828 25104 26673 33472 35564 37656 50208 53346 71128 75312 80019 100416 106692 142256 150624 160038 213384 284512 301248 320076 426768 569024 640152 853536 1280304 1707072 2560608 5121216