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5940216 = 233489103
BaseRepresentation
bin10110101010001111111000
3102011210110000
4112222033320
53010041331
6331153000
7101330262
oct26521770
912153400
105940216
113397a77
121ba5760
1312cca29
14b08b32
157c50e6
hex5aa3f8

5940216 has 80 divisors (see below), whose sum is σ = 16988400. Its totient is φ = 1938816.

The previous prime is 5940211. The next prime is 5940223. The reversal of 5940216 is 6120495.

It is a super-2 number, since 2×59402162 = 70572332253312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5940216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5940211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57621 + ... + 57723.

It is an arithmetic number, because the mean of its divisors is an integer number (212355).

Almost surely, 25940216 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 5940216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494200).

5940216 is an abundant number, since it is smaller than the sum of its proper divisors (11048184).

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

5940216 is a wasteful number, since it uses less digits than its factorization.

5940216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5940216 is about 2437.2558339247. The cubic root of 5940216 is about 181.1065172812.

The spelling of 5940216 in words is "five million, nine hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 103 108 162 178 206 216 267 309 324 356 412 534 618 648 712 801 824 927 1068 1236 1602 1854 2136 2403 2472 2781 3204 3708 4806 5562 6408 7209 7416 8343 9167 9612 11124 14418 16686 18334 19224 22248 27501 28836 33372 36668 55002 57672 66744 73336 82503 110004 165006 220008 247509 330012 495018 660024 742527 990036 1485054 1980072 2970108 5940216