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141361800 = 233521713859
BaseRepresentation
bin10000110110100…
…00001010001000
3100211222220221020
420123100022020
5242142034200
622005512440
73334361346
oct1033201210
9324886836
10141361800
1172882238
123b412720
1323396148
1414aba996
15c624ea0
hex86d0288

141361800 has 96 divisors (see below), whose sum is σ = 464032800. Its totient is φ = 35476480.

The previous prime is 141361777. The next prime is 141361819. The reversal of 141361800 is 8163141.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3271 + ... + 17129.

It is an arithmetic number, because the mean of its divisors is an integer number (4833675).

Almost surely, 2141361800 is an apocalyptic number.

141361800 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 141361800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232016400).

141361800 is an abundant number, since it is smaller than the sum of its proper divisors (322671000).

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

141361800 is a wasteful number, since it uses less digits than its factorization.

141361800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13895 (or 13886 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 141361800 is about 11889.5668550204. The cubic root of 141361800 is about 520.9275850051.

The spelling of 141361800 in words is "one hundred forty-one million, three hundred sixty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 13859 27718 41577 55436 69295 83154 110872 138590 166308 207885 235603 277180 332616 346475 415770 471206 554360 692950 706809 831540 942412 1039425 1178015 1385900 1413618 1663080 1884824 2078850 2356030 2771800 2827236 3534045 4157700 4712060 5654472 5890075 7068090 8315400 9424120 11780150 14136180 17670225 23560300 28272360 35340450 47120600 70680900 141361800