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14983416 = 23327231137
BaseRepresentation
bin111001001010…
…000011111000
31001012020101100
4321022003320
512313432131
61253051400
7241233300
oct71120370
931166340
1014983416
118504298
125026b60
133147c36
141dc0600
1514ae7e6
hexe4a0f8

14983416 has 144 divisors (see below), whose sum is σ = 49083840. Its totient is φ = 4112640.

The previous prime is 14983403. The next prime is 14983421. The reversal of 14983416 is 61438941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

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 35 ways as a sum of consecutive naturals, for example, 109300 + ... + 109436.

It is an arithmetic number, because the mean of its divisors is an integer number (340860).

Almost surely, 214983416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14983416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24541920).

14983416 is an abundant number, since it is smaller than the sum of its proper divisors (34100424).

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

14983416 is a wasteful number, since it uses less digits than its factorization.

14983416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14983416 is about 3870.8417689180. The cubic root of 14983416 is about 246.5302857815.

The spelling of 14983416 in words is "fourteen million, nine hundred eighty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 137 147 168 186 196 217 248 252 274 279 294 372 392 411 434 441 504 548 558 588 651 744 822 868 882 959 1096 1116 1176 1233 1302 1519 1644 1736 1764 1918 1953 2232 2466 2604 2877 3038 3288 3528 3836 3906 4247 4557 4932 5208 5754 6076 6713 7672 7812 8494 8631 9114 9864 11508 12152 12741 13426 13671 15624 16988 17262 18228 20139 23016 25482 26852 27342 29729 33976 34524 36456 38223 40278 50964 53704 54684 59458 60417 69048 76446 80556 89187 101928 109368 118916 120834 152892 161112 178374 208103 237832 241668 267561 305784 356748 416206 483336 535122 624309 713496 832412 1070244 1248618 1664824 1872927 2140488 2497236 3745854 4994472 7491708 14983416