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12983376 = 2437172273
BaseRepresentation
bin110001100001…
…110001010000
3220102121211210
4301201301100
511310432001
61142140120
7215233260
oct61416120
926377753
1012983376
11736866a
124421640
1328c7793
141a1d7a0
151216dd6
hexc61c50

12983376 has 80 divisors (see below), whose sum is σ = 40604544. Its totient is φ = 3489792.

The previous prime is 12983371. The next prime is 12983381. The reversal of 12983376 is 67338921.

It is an interprime number because it is at equal distance from previous prime (12983371) and next prime (12983381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12983371) 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, 4576 + ... + 6848.

Almost surely, 212983376 is an apocalyptic number.

12983376 is a gapful number since it is divisible by the number (16) 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 12983376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20302272).

12983376 is an abundant number, since it is smaller than the sum of its proper divisors (27621168).

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

12983376 is a wasteful number, since it uses less digits than its factorization.

12983376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2302 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 12983376 is about 3603.2452039793. The cubic root of 12983376 is about 235.0331988709.

The spelling of 12983376 in words is "twelve million, nine hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2273 2856 4546 5712 6819 9092 13638 15911 18184 27276 31822 36368 38641 47733 54552 63644 77282 95466 109104 115923 127288 154564 190932 231846 254576 270487 309128 381864 463692 540974 618256 763728 811461 927384 1081948 1622922 1854768 2163896 3245844 4327792 6491688 12983376