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14231040 = 293517109
BaseRepresentation
bin110110010010…
…011000000000
3222210000022120
4312102120000
512120343130
61225004240
7231650625
oct66223000
928700276
1014231040
11803aa9a
124923680
132c43645
141c6634c
1513b1910
hexd92600

14231040 has 160 divisors (see below), whose sum is σ = 48612960. Its totient is φ = 3538944.

The previous prime is 14231029. The next prime is 14231047. The reversal of 14231040 is 4013241.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14231047) 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, 130506 + ... + 130614.

It is an arithmetic number, because the mean of its divisors is an integer number (303831).

Almost surely, 214231040 is an apocalyptic number.

14231040 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 14231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

14231040 is an abundant number, since it is smaller than the sum of its proper divisors (34381920).

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

14231040 is a wasteful number, since it uses less digits than its factorization.

14231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14231040 is about 3772.4050683881. The cubic root of 14231040 is about 242.3328071338.

14231040 divided by its product of nonzero digits (96) gives a triangular number (148240 = T544).

Adding to 14231040 its reverse (4013241), we get a palindrome (18244281).

The spelling of 14231040 in words is "fourteen million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 109 120 128 136 160 170 192 204 218 240 255 256 272 320 327 340 384 408 436 480 510 512 544 545 640 654 680 768 816 872 960 1020 1088 1090 1280 1308 1360 1536 1632 1635 1744 1853 1920 2040 2176 2180 2560 2616 2720 3264 3270 3488 3706 3840 4080 4352 4360 5232 5440 5559 6528 6540 6976 7412 7680 8160 8704 8720 9265 10464 10880 11118 13056 13080 13952 14824 16320 17440 18530 20928 21760 22236 26112 26160 27795 27904 29648 32640 34880 37060 41856 43520 44472 52320 55590 55808 59296 65280 69760 74120 83712 88944 104640 111180 118592 130560 139520 148240 167424 177888 209280 222360 237184 279040 296480 355776 418560 444720 474368 592960 711552 837120 889440 948736 1185920 1423104 1778880 2371840 2846208 3557760 4743680 7115520 14231040