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139296000 = 283531451
BaseRepresentation
bin10000100110101…
…11110100000000
3100201002222012010
420103113310000
5241124433000
621453332520
73310665534
oct1023276400
9321088163
10139296000
11716a1168
123a797140
1322b21a8c
14146ddbc4
15c367d50
hex84d7d00

139296000 has 144 divisors (see below), whose sum is σ = 462990528. Its totient is φ = 37120000.

The previous prime is 139295969. The next prime is 139296007. The reversal of 139296000 is 692931.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139296007) by changing a digit.

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, 95275 + ... + 96725.

It is an arithmetic number, because the mean of its divisors is an integer number (3215212).

Almost surely, 2139296000 is an apocalyptic number.

139296000 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 139296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231495264).

139296000 is an abundant number, since it is smaller than the sum of its proper divisors (323694528).

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

139296000 is an equidigital number, since it uses as much as digits as its factorization.

139296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 139296000 is about 11802.3726428206. The cubic root of 139296000 is about 518.3775862890.

The spelling of 139296000 in words is "one hundred thirty-nine million, two hundred ninety-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1451 1500 1600 1920 2000 2400 2902 3000 3200 3840 4000 4353 4800 5804 6000 6400 7255 8000 8706 9600 11608 12000 14510 16000 17412 19200 21765 23216 24000 29020 32000 34824 36275 43530 46432 48000 58040 69648 72550 87060 92864 96000 108825 116080 139296 145100 174120 181375 185728 217650 232160 278592 290200 348240 362750 371456 435300 464320 544125 557184 580400 696480 725500 870600 928640 1088250 1114368 1160800 1392960 1451000 1741200 1857280 2176500 2321600 2785920 2902000 3482400 4353000 4643200 5571840 5804000 6964800 8706000 9286400 11608000 13929600 17412000 23216000 27859200 34824000 46432000 69648000 139296000