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136780000 = 25547977
BaseRepresentation
bin10000010011100…
…01100011100000
3100112101010212221
420021301203200
5240003430000
621323400424
73250416340
oct1011614340
9315333787
10136780000
1170232925
1239983114
1322450816
1414246d20
15c01c61a
hex82718e0

136780000 has 120 divisors (see below), whose sum is σ = 384964272. Its totient is φ = 46848000.

The previous prime is 136779989. The next prime is 136780051. The reversal of 136780000 is 87631.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139512 + ... + 140488.

Almost surely, 2136780000 is an apocalyptic number.

136780000 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 136780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192482136).

136780000 is an abundant number, since it is smaller than the sum of its proper divisors (248184272).

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

136780000 is an frugal number, since it uses more digits than its factorization.

136780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 136780000 is about 11695.2982005591. The cubic root of 136780000 is about 515.2375816495.

The spelling of 136780000 in words is "one hundred thirty-six million, seven hundred eighty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 977 1000 1120 1250 1400 1750 1954 2000 2500 2800 3500 3908 4000 4375 4885 5000 5600 6839 7000 7816 8750 9770 10000 13678 14000 15632 17500 19540 20000 24425 27356 28000 31264 34195 35000 39080 48850 54712 68390 70000 78160 97700 109424 122125 136780 140000 156320 170975 195400 218848 244250 273560 341950 390800 488500 547120 610625 683900 781600 854875 977000 1094240 1221250 1367800 1709750 1954000 2442500 2735600 3419500 3908000 4274375 4885000 5471200 6839000 8548750 9770000 13678000 17097500 19540000 27356000 34195000 68390000 136780000