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13954500 = 2232537443
BaseRepresentation
bin110101001110…
…110111000100
3222020221222100
4311032313010
512033021000
61215032100
7226416450
oct65166704
928227870
1013954500
11797124a
12480b630
132b77801
141bd3660
151359a00
hexd4edc4

13954500 has 144 divisors (see below), whose sum is σ = 50424192. Its totient is φ = 3182400.

The previous prime is 13954469. The next prime is 13954511. The reversal of 13954500 is 545931.

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 47 ways as a sum of consecutive naturals, for example, 31279 + ... + 31721.

It is an arithmetic number, because the mean of its divisors is an integer number (350168).

Almost surely, 213954500 is an apocalyptic number.

13954500 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 13954500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25212096).

13954500 is an abundant number, since it is smaller than the sum of its proper divisors (36469692).

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

13954500 is a wasteful number, since it uses less digits than its factorization.

13954500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 13954500 is about 3735.5722453193. The cubic root of 13954500 is about 240.7528443034.

The spelling of 13954500 in words is "thirteen million, nine hundred fifty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 443 450 500 525 630 700 750 875 886 900 1050 1125 1260 1329 1500 1575 1750 1772 2100 2215 2250 2625 2658 3101 3150 3500 3987 4430 4500 5250 5316 6202 6300 6645 7875 7974 8860 9303 10500 11075 12404 13290 15505 15750 15948 18606 19935 22150 26580 27909 31010 31500 33225 37212 39870 44300 46515 55375 55818 62020 66450 77525 79740 93030 99675 110750 111636 132900 139545 155050 166125 186060 199350 221500 232575 279090 310100 332250 387625 398700 465150 498375 558180 664500 697725 775250 930300 996750 1162875 1395450 1550500 1993500 2325750 2790900 3488625 4651500 6977250 13954500