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13044000 = 253531087
BaseRepresentation
bin110001110000…
…100100100000
3220112201000010
4301300210200
511314402000
61143324520
7215605104
oct61604440
926481003
1013044000
1173aa172
124450740
132919258
141a37904
151229d50
hexc70920

13044000 has 96 divisors (see below), whose sum is σ = 42771456. Its totient is φ = 3475200.

The previous prime is 13043999. The next prime is 13044001. The reversal of 13044000 is 44031.

It is an interprime number because it is at equal distance from previous prime (13043999) and next prime (13044001).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044001) 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, 11457 + ... + 12543.

It is an arithmetic number, because the mean of its divisors is an integer number (445536).

Almost surely, 213044000 is an apocalyptic number.

13044000 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 13044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728).

13044000 is an abundant number, since it is smaller than the sum of its proper divisors (29727456).

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

13044000 is a wasteful number, since it uses less digits than its factorization.

13044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13044000 is about 3611.6478233626. The cubic root of 13044000 is about 235.3984488300.

Adding to 13044000 its reverse (44031), we get a palindrome (13088031).

The spelling of 13044000 in words is "thirteen million, forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1087 1200 1500 2000 2174 2400 3000 3261 4000 4348 5435 6000 6522 8696 10870 12000 13044 16305 17392 21740 26088 27175 32610 34784 43480 52176 54350 65220 81525 86960 104352 108700 130440 135875 163050 173920 217400 260880 271750 326100 407625 434800 521760 543500 652200 815250 869600 1087000 1304400 1630500 2174000 2608800 3261000 4348000 6522000 13044000