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14983540 = 2251113331
BaseRepresentation
bin111001001010…
…000101110100
31001012020112221
4321022011310
512313433130
61253052124
7241233535
oct71120564
931166487
1014983540
1185043a0
125027044
133148000
141dc068c
1514ae87a
hexe4a174

14983540 has 96 divisors (see below), whose sum is σ = 38384640. Its totient is φ = 4867200.

The previous prime is 14983519. The next prime is 14983541. The reversal of 14983540 is 4538941.

It is a junction number, because it is equal to n+sod(n) for n = 14983496 and 14983505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14983541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 483325 + ... + 483355.

It is an arithmetic number, because the mean of its divisors is an integer number (399840).

Almost surely, 214983540 is an apocalyptic number.

14983540 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 14983540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320).

14983540 is an abundant number, since it is smaller than the sum of its proper divisors (23401100).

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

14983540 is a wasteful number, since it uses less digits than its factorization.

14983540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 14983540 is about 3870.8577860727. The cubic root of 14983540 is about 246.5309658594.

The spelling of 14983540 in words is "fourteen million, nine hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 124 130 143 155 169 220 260 286 310 338 341 403 572 620 676 682 715 806 845 1364 1430 1612 1690 1705 1859 2015 2197 2860 3380 3410 3718 4030 4394 4433 5239 6820 7436 8060 8788 8866 9295 10478 10985 17732 18590 20956 21970 22165 24167 26195 37180 43940 44330 48334 52390 57629 68107 88660 96668 104780 115258 120835 136214 230516 241670 272428 288145 340535 483340 576290 681070 749177 1152580 1362140 1498354 2996708 3745885 7491770 14983540