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126930000 = 243544231
BaseRepresentation
bin1111001000011…
…00110001010000
322211211201020010
413210030301100
5224443230000
620332314520
73100613211
oct744146120
9284751203
10126930000
116571542a
1236612a40
13203b2312
1412c01408
15b223d50
hex790cc50

126930000 has 100 divisors (see below), whose sum is σ = 409843808. Its totient is φ = 33840000.

The previous prime is 126929993. The next prime is 126930019. The reversal of 126930000 is 39621.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1269300002 = 32222449800000000, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 27885 + ... + 32115.

Almost surely, 2126930000 is an apocalyptic number.

126930000 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 126930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204921904).

126930000 is an abundant number, since it is smaller than the sum of its proper divisors (282913808).

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

126930000 is an equidigital number, since it uses as much as digits as its factorization.

126930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 126930000 is about 11266.3214937263. The cubic root of 126930000 is about 502.5602016930.

Adding to 126930000 its reverse (39621), we get a palindrome (126969621).

The spelling of 126930000 in words is "one hundred twenty-six million, nine hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 4231 5000 6000 7500 8462 10000 12693 15000 16924 21155 25386 30000 33848 42310 50772 63465 67696 84620 101544 105775 126930 169240 203088 211550 253860 317325 338480 423100 507720 528875 634650 846200 1015440 1057750 1269300 1586625 1692400 2115500 2538600 2644375 3173250 4231000 5077200 5288750 6346500 7933125 8462000 10577500 12693000 15866250 21155000 25386000 31732500 42310000 63465000 126930000