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141320400 = 24352139059
BaseRepresentation
bin10000110110001…
…10000011010000
3100211220211010220
420123012003100
5242134223100
622004553040
73334126554
oct1033060320
9324824126
10141320400
1172854121
123b3b2780
1323380350
1414aa9864
15c617aa0
hex86c60d0

141320400 has 120 divisors (see below), whose sum is σ = 487572960. Its totient is φ = 34782720.

The previous prime is 141320363. The next prime is 141320411. The reversal of 141320400 is 4023141.

141320400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 141320400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11071 + ... + 20129.

It is an arithmetic number, because the mean of its divisors is an integer number (4063108).

Almost surely, 2141320400 is an apocalyptic number.

141320400 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 141320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243786480).

141320400 is an abundant number, since it is smaller than the sum of its proper divisors (346252560).

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

141320400 is a wasteful number, since it uses less digits than its factorization.

141320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093 (or 9082 counting only the distinct ones).

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

The square root of 141320400 is about 11887.8257053172. The cubic root of 141320400 is about 520.8767261269.

Adding to 141320400 its reverse (4023141), we get a palindrome (145343541).

The spelling of 141320400 in words is "one hundred forty-one million, three hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 9059 15600 18118 27177 36236 45295 54354 72472 90590 108708 117767 135885 144944 181180 217416 226475 235534 271770 353301 362360 434832 452950 471068 543540 588835 679425 706602 724720 905900 942136 1087080 1177670 1358850 1413204 1766505 1811800 1884272 2174160 2355340 2717700 2826408 2944175 3533010 3623600 4710680 5435400 5652816 5888350 7066020 8832525 9421360 10870800 11776700 14132040 17665050 23553400 28264080 35330100 47106800 70660200 141320400