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14207400 = 233452877
BaseRepresentation
bin110110001100…
…100110101000
3222201210220000
4312030212220
512114114100
61224303000
7231521664
oct66144650
928653800
1014207400
118024259
124911a60
132c3595c
141c5b8a4
1513a9900
hexd8c9a8

14207400 has 120 divisors (see below), whose sum is σ = 49400670. Its totient is φ = 3784320.

The previous prime is 14207351. The next prime is 14207407. The reversal of 14207400 is 470241.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12574116 + 1633284 = 3546^2 + 1278^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (14207407) 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 29 ways as a sum of consecutive naturals, for example, 15762 + ... + 16638.

Almost surely, 214207400 is an apocalyptic number.

14207400 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 14207400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24700335).

14207400 is an abundant number, since it is smaller than the sum of its proper divisors (35193270).

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

14207400 is a wasteful number, since it uses less digits than its factorization.

14207400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14207400 is about 3769.2704864469. The cubic root of 14207400 is about 242.1985484380.

Adding to 14207400 its reverse (470241), we get a palindrome (14677641).

The spelling of 14207400 in words is "fourteen million, two hundred seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 877 900 1080 1350 1620 1754 1800 2025 2631 2700 3240 3508 4050 4385 5262 5400 7016 7893 8100 8770 10524 13155 15786 16200 17540 21048 21925 23679 26310 31572 35080 39465 43850 47358 52620 63144 65775 71037 78930 87700 94716 105240 118395 131550 142074 157860 175400 189432 197325 236790 263100 284148 315720 355185 394650 473580 526200 568296 591975 710370 789300 947160 1183950 1420740 1578600 1775925 2367900 2841480 3551850 4735800 7103700 14207400