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137923800 = 23352732839
BaseRepresentation
bin10000011100010…
…00110011011000
3100121112020212220
420032020303120
5240302030200
621404104040
73263222130
oct1016106330
9317466786
10137923800
1170944213
123a235020
1322761321
1414463ac0
15c1964a0
hex8388cd8

137923800 has 96 divisors (see below), whose sum is σ = 488659200. Its totient is φ = 31524480.

The previous prime is 137923777. The next prime is 137923811. The reversal of 137923800 is 8329731.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 12220 + ... + 20619.

It is an arithmetic number, because the mean of its divisors is an integer number (5090200).

Almost surely, 2137923800 is an apocalyptic number.

137923800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137923800 is an abundant number, since it is smaller than the sum of its proper divisors (350735400).

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

137923800 is a wasteful number, since it uses less digits than its factorization.

137923800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32865 (or 32856 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 137923800 is about 11744.0963892502. The cubic root of 137923800 is about 516.6697930207.

The spelling of 137923800 in words is "one hundred thirty-seven million, nine hundred twenty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 32839 65678 98517 131356 164195 197034 229873 262712 328390 394068 459746 492585 656780 689619 788136 820975 919492 985170 1149365 1313560 1379238 1641950 1838984 1970340 2298730 2462925 2758476 3283900 3448095 3940680 4597460 4925850 5516952 5746825 6567800 6896190 9194920 9851700 11493650 13792380 17240475 19703400 22987300 27584760 34480950 45974600 68961900 137923800