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16159440 = 2435116121
BaseRepresentation
bin111101101001…
…001011010000
31010101222120210
4331221023100
513114100230
61334204120
7254232033
oct75511320
933358523
1016159440
119137910
1254b3640
13346a2cb
14220901a
151642eb0
hexf692d0

16159440 has 80 divisors (see below), whose sum is σ = 54657216. Its totient is φ = 3916800.

The previous prime is 16159427. The next prime is 16159441. The reversal of 16159440 is 4495161.

It is a happy number.

16159440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×161594402 = 522255002227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16159398 and 16159407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16159441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421 + ... + 5700.

Almost surely, 216159440 is an apocalyptic number.

16159440 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 16159440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27328608).

16159440 is an abundant number, since it is smaller than the sum of its proper divisors (38497776).

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

16159440 is a wasteful number, since it uses less digits than its factorization.

16159440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 16159440 is about 4019.8805952416. The cubic root of 16159440 is about 252.8184525600.

The spelling of 16159440 in words is "sixteen million, one hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 6121 12242 18363 24484 30605 36726 48968 61210 67331 73452 91815 97936 122420 134662 146904 183630 201993 244840 269324 293808 336655 367260 403986 489680 538648 673310 734520 807972 1009965 1077296 1346620 1469040 1615944 2019930 2693240 3231888 4039860 5386480 8079720 16159440