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129140000 = 255411587
BaseRepresentation
bin1111011001010…
…00010100100000
322222222222202222
413230220110200
5231024440000
620451530212
73125446313
oct754502440
9288888688
10129140000
1166994880
12372b9968
13209a7202
141321897a
15b50da85
hex7b28520

129140000 has 120 divisors (see below), whose sum is σ = 347176368. Its totient is φ = 46880000.

The previous prime is 129139991. The next prime is 129140023. The reversal of 129140000 is 41921.

It is a happy number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 219707 + ... + 220293.

Almost surely, 2129140000 is an apocalyptic number.

129140000 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 129140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173588184).

129140000 is an abundant number, since it is smaller than the sum of its proper divisors (218036368).

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

129140000 is an equidigital number, since it uses as much as digits as its factorization.

129140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 129140000 is about 11363.9781766774. The cubic root of 129140000 is about 505.4601563384.

Adding to 129140000 its reverse (41921), we get a palindrome (129181921).

The spelling of 129140000 in words is "one hundred twenty-nine million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 587 625 800 880 1000 1100 1174 1250 1375 1760 2000 2200 2348 2500 2750 2935 4000 4400 4696 5000 5500 5870 6457 6875 8800 9392 10000 11000 11740 12914 13750 14675 18784 20000 22000 23480 25828 27500 29350 32285 44000 46960 51656 55000 58700 64570 73375 93920 103312 110000 117400 129140 146750 161425 206624 220000 234800 258280 293500 322850 366875 469600 516560 587000 645700 733750 807125 1033120 1174000 1291400 1467500 1614250 2348000 2582800 2935000 3228500 4035625 5165600 5870000 6457000 8071250 11740000 12914000 16142500 25828000 32285000 64570000 129140000