Search a number
-
+
16441440 = 253534253
BaseRepresentation
bin111110101110…
…000001100000
31010221022102020
4332232001200
513202111230
61344221440
7256515141
oct76560140
933838366
1016441440
11930a774
12560a880
133538782
14227dac8
15169b810
hexfae060

16441440 has 48 divisors (see below), whose sum is σ = 51792048. Its totient is φ = 4384256.

The previous prime is 16441433. The next prime is 16441457. The reversal of 16441440 is 4414461.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×164414403 (a number of 23 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16441440.

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 7 ways as a sum of consecutive naturals, for example, 16647 + ... + 17606.

It is an arithmetic number, because the mean of its divisors is an integer number (1079001).

Almost surely, 216441440 is an apocalyptic number.

16441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16441440 is an abundant number, since it is smaller than the sum of its proper divisors (35350608).

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

16441440 is a wasteful number, since it uses less digits than its factorization.

16441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34271 (or 34263 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 16441440 is about 4054.8045575588. The cubic root of 16441440 is about 254.2806330557.

The spelling of 16441440 in words is "sixteen million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 34253 68506 102759 137012 171265 205518 274024 342530 411036 513795 548048 685060 822072 1027590 1096096 1370120 1644144 2055180 2740240 3288288 4110360 5480480 8220720 16441440