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16604240 = 2451729421
BaseRepresentation
bin111111010101…
…110001010000
31011020120201212
4333111301100
513222313430
61351515252
7261063602
oct77256120
934216655
1016604240
119411014
125688b28
1335948c3
1422c3172
1516ceb95
hexfd5c50

16604240 has 80 divisors (see below), whose sum is σ = 42385680. Its totient is φ = 6021120.

The previous prime is 16604239. The next prime is 16604243. The reversal of 16604240 is 4240661.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1175056 + 15429184 = 1084^2 + 3928^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16604243) by changing a digit.

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, 39230 + ... + 39650.

It is an arithmetic number, because the mean of its divisors is an integer number (529821).

Almost surely, 216604240 is an apocalyptic number.

16604240 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 16604240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192840).

16604240 is an abundant number, since it is smaller than the sum of its proper divisors (25781440).

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

16604240 is a wasteful number, since it uses less digits than its factorization.

16604240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 16604240 is about 4074.8300578061. The cubic root of 16604240 is about 255.1171574938.

The spelling of 16604240 in words is "sixteen million, six hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 421 464 493 580 680 842 986 1160 1360 1684 1972 2105 2320 2465 3368 3944 4210 4930 6736 7157 7888 8420 9860 12209 14314 16840 19720 24418 28628 33680 35785 39440 48836 57256 61045 71570 97672 114512 122090 143140 195344 207553 244180 286280 415106 488360 572560 830212 976720 1037765 1660424 2075530 3320848 4151060 8302120 16604240