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16242240 = 263572417
BaseRepresentation
bin111101111101…
…011001000000
31010120012011110
4331331121000
513124222430
61340043320
7255025320
oct75753100
933505143
1016242240
119194043
125533540
133498bc1
14222b280
15165c7b0
hexf7d640

16242240 has 112 divisors (see below), whose sum is σ = 58960512. Its totient is φ = 3710976.

The previous prime is 16242227. The next prime is 16242251. The reversal of 16242240 is 4224261.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5512 + ... + 7928.

Almost surely, 216242240 is an apocalyptic number.

16242240 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 16242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29480256).

16242240 is an abundant number, since it is smaller than the sum of its proper divisors (42718272).

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

16242240 is a wasteful number, since it uses less digits than its factorization.

16242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 16242240 is about 4030.1662496726. The cubic root of 16242240 is about 253.2495259869.

The spelling of 16242240 in words is "sixteen million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 2417 3360 4834 6720 7251 9668 12085 14502 16919 19336 24170 29004 33838 36255 38672 48340 50757 58008 67676 72510 77344 84595 96680 101514 116016 135352 145020 154688 169190 193360 203028 232032 253785 270704 290040 338380 386720 406056 464064 507570 541408 580080 676760 773440 812112 1015140 1082816 1160160 1353520 1624224 2030280 2320320 2707040 3248448 4060560 5414080 8121120 16242240