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129857000 = 23537131427
BaseRepresentation
bin1111011110101…
…11010111101000
3100001100102022112
413233113113220
5231220411000
620515141452
73134523560
oct757272750
9301312275
10129857000
1167334539
12375a4888
1320b98680
1413363da0
15b601235
hex7bd75e8

129857000 has 128 divisors (see below), whose sum is σ = 374250240. Its totient is φ = 41068800.

The previous prime is 129856973. The next prime is 129857003. The reversal of 129857000 is 758921.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (129857003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90287 + ... + 91713.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2129857000 is an apocalyptic number.

129857000 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 129857000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

129857000 is an abundant number, since it is smaller than the sum of its proper divisors (244393240).

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

129857000 is a wasteful number, since it uses less digits than its factorization.

129857000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 129857000 is about 11395.4815606889. The cubic root of 129857000 is about 506.3938878709.

The spelling of 129857000 in words is "one hundred twenty-nine million, eight hundred fifty-seven thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1427 1625 1750 1820 2275 2600 2854 3250 3500 3640 4550 5708 6500 7000 7135 9100 9989 11375 11416 13000 14270 18200 18551 19978 22750 28540 35675 37102 39956 45500 49945 57080 71350 74204 79912 91000 92755 99890 129857 142700 148408 178375 185510 199780 249725 259714 285400 356750 371020 399560 463775 499450 519428 649285 713500 742040 927550 998900 1038856 1248625 1298570 1427000 1855100 1997800 2318875 2497250 2597140 3246425 3710200 4637750 4994500 5194280 6492850 9275500 9989000 12985700 16232125 18551000 25971400 32464250 64928500 129857000