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14913000 = 2332531657
BaseRepresentation
bin111000111000…
…110111101000
31001001122210100
4320320313220
512304204000
61251345400
7240521064
oct70706750
931048710
1014913000
1184663a3
124bb2260
133121b7b
141da2aa4
151498a00
hexe38de8

14913000 has 96 divisors (see below), whose sum is σ = 50436360. Its totient is φ = 3974400.

The previous prime is 14912983. The next prime is 14913011. The reversal of 14913000 is 31941.

It can be written as a sum of positive squares in 4 ways, for example, as 3175524 + 11737476 = 1782^2 + 3426^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 8172 + ... + 9828.

Almost surely, 214913000 is an apocalyptic number.

14913000 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 14913000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25218180).

14913000 is an abundant number, since it is smaller than the sum of its proper divisors (35523360).

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

14913000 is a wasteful number, since it uses less digits than its factorization.

14913000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 14913000 is about 3861.7353612074. The cubic root of 14913000 is about 246.1434816349.

Adding to 14913000 its reverse (31941), we get a palindrome (14944941).

The spelling of 14913000 in words is "fourteen million, nine hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1657 1800 2250 3000 3314 4500 4971 6628 8285 9000 9942 13256 14913 16570 19884 24855 29826 33140 39768 41425 49710 59652 66280 74565 82850 99420 119304 124275 149130 165700 198840 207125 248550 298260 331400 372825 414250 497100 596520 621375 745650 828500 994200 1242750 1491300 1657000 1864125 2485500 2982600 3728250 4971000 7456500 14913000