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6141216 = 253175371
BaseRepresentation
bin10111011011010100100000
3102120000011110
4113123110200
53033004331
6335343320
7103125264
oct27332440
912500143
106141216
113514a94
122081b40
131370373
14b5c0a4
15814946
hex5db520

6141216 has 96 divisors (see below), whose sum is σ = 17635968. Its totient is φ = 1863680.

The previous prime is 6141209. The next prime is 6141229. The reversal of 6141216 is 6121416.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 6141192 and 6141201.

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, 86461 + ... + 86531.

It is an arithmetic number, because the mean of its divisors is an integer number (183708).

Almost surely, 26141216 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 6141216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817984).

6141216 is an abundant number, since it is smaller than the sum of its proper divisors (11494752).

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

6141216 is a wasteful number, since it uses less digits than its factorization.

6141216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 6141216 is about 2478.1476953564. The cubic root of 6141216 is about 183.1266107015.

It can be divided in two parts, 614 and 1216, that added together give a triangular number (1830 = T60).

The spelling of 6141216 in words is "six million, one hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 71 96 102 106 136 142 159 204 212 213 272 284 318 408 424 426 544 568 636 816 848 852 901 1136 1207 1272 1632 1696 1704 1802 2272 2414 2544 2703 3408 3604 3621 3763 4828 5088 5406 6816 7208 7242 7526 9656 10812 11289 14416 14484 15052 19312 21624 22578 28832 28968 30104 38624 43248 45156 57936 60208 63971 86496 90312 115872 120416 127942 180624 191913 255884 361248 383826 511768 767652 1023536 1535304 2047072 3070608 6141216