Search a number
-
+
5460216 = 2333141179
BaseRepresentation
bin10100110101000011111000
3101021102000020
4110311003320
52344211331
6313010440
764260666
oct24650370
911242006
105460216
11309a383
1219b3a20
1311923c8
14a21c36
1572cc96
hex5350f8

5460216 has 64 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1708800.

The previous prime is 5460197. The next prime is 5460229. The reversal of 5460216 is 6120645.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30415 + ... + 30593.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 25460216 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 5460216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

5460216 is an abundant number, since it is smaller than the sum of its proper divisors (9054984).

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

5460216 is a wasteful number, since it uses less digits than its factorization.

5460216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5460216 is about 2336.7105083857. The cubic root of 5460216 is about 176.0907761747.

The spelling of 5460216 in words is "five million, four hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 179 186 246 248 328 358 372 492 537 716 744 984 1074 1271 1432 2148 2542 3813 4296 5084 5549 7339 7626 10168 11098 14678 15252 16647 22017 22196 29356 30504 33294 44034 44392 58712 66588 88068 133176 176136 227509 455018 682527 910036 1365054 1820072 2730108 5460216