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16244140 = 22511471571
BaseRepresentation
bin111101111101…
…110110101100
31010120021202211
4331331312230
513124303030
61340100204
7255034003
oct75756654
933507684
1016244140
119195510
125534664
133499a23
14222bc3a
15165d12a
hexf7ddac

16244140 has 48 divisors (see below), whose sum is σ = 38029824. Its totient is φ = 5777600.

The previous prime is 16244119. The next prime is 16244143. The reversal of 16244140 is 4144261.

16244140 = T269 + T270 + ... + T488.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (16244143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9555 + ... + 11125.

It is an arithmetic number, because the mean of its divisors is an integer number (792288).

Almost surely, 216244140 is an apocalyptic number.

16244140 is a gapful number since it is divisible by the number (10) 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 16244140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19014912).

16244140 is an abundant number, since it is smaller than the sum of its proper divisors (21785684).

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

16244140 is a wasteful number, since it uses less digits than its factorization.

16244140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 16244140 is about 4030.4019650650. The cubic root of 16244140 is about 253.2594005554.

It can be divided in two parts, 16244 and 140, that added together give a 14-th power (16384 = 214).

The spelling of 16244140 in words is "sixteen million, two hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 1571 2068 2585 3142 5170 6284 7855 10340 15710 17281 31420 34562 69124 73837 86405 147674 172810 295348 345620 369185 738370 812207 1476740 1624414 3248828 4061035 8122070 16244140