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16442240 = 275231117
BaseRepresentation
bin111110101110…
…001110000000
31010221100111212
4332232032000
513202122430
61344225252
7256520363
oct76561600
933840455
1016442240
119310331
12560b228
133538c49
1422800da
15169bb95
hexfae380

16442240 has 64 divisors (see below), whose sum is σ = 41052960. Its totient is φ = 6285312.

The previous prime is 16442197. The next prime is 16442287. The reversal of 16442240 is 4224461.

16442240 is digitally balanced in base 2, because in such base 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 (64).

It is a super-3 number, since 3×164422403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14162 + ... + 15278.

Almost surely, 216442240 is an apocalyptic number.

16442240 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 16442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20526480).

16442240 is an abundant number, since it is smaller than the sum of its proper divisors (24610720).

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

16442240 is a wasteful number, since it uses less digits than its factorization.

16442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 16442240 is about 4054.9032047633. The cubic root of 16442240 is about 254.2847572120.

The spelling of 16442240 in words is "sixteen million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1117 1472 1840 2234 2944 3680 4468 5585 7360 8936 11170 14720 17872 22340 25691 35744 44680 51382 71488 89360 102764 128455 142976 178720 205528 256910 357440 411056 513820 714880 822112 1027640 1644224 2055280 3288448 4110560 8221120 16442240