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139268000 = 255337941
BaseRepresentation
bin10000100110100…
…00111110100000
3100201001112210002
420103100332200
5241123034000
621452555132
73310521104
oct1023207640
9321045702
10139268000
1171682123
123a782aa8
1322b12101
14146d3904
15c35e8d5
hex84d0fa0

139268000 has 96 divisors (see below), whose sum is σ = 351803088. Its totient is φ = 54144000.

The previous prime is 139267993. The next prime is 139268011. The reversal of 139268000 is 862931.

It can be written as a sum of positive squares in 8 ways, for example, as 28344976 + 110923024 = 5324^2 + 10532^2 .

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 15 ways as a sum of consecutive naturals, for example, 147530 + ... + 148470.

Almost surely, 2139268000 is an apocalyptic number.

139268000 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 139268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175901544).

139268000 is an abundant number, since it is smaller than the sum of its proper divisors (212535088).

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

139268000 is an equidigital number, since it uses as much as digits as its factorization.

139268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 139268000 is about 11801.1863810381. The cubic root of 139268000 is about 518.3428507975.

The spelling of 139268000 in words is "one hundred thirty-nine million, two hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 941 1000 1184 1480 1850 1882 2000 2960 3700 3764 4000 4625 4705 5920 7400 7528 9250 9410 14800 15056 18500 18820 23525 29600 30112 34817 37000 37640 47050 69634 74000 75280 94100 117625 139268 148000 150560 174085 188200 235250 278536 348170 376400 470500 557072 696340 752800 870425 941000 1114144 1392680 1740850 1882000 2785360 3481700 3764000 4352125 5570720 6963400 8704250 13926800 17408500 27853600 34817000 69634000 139268000