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137826200 = 2352689131
BaseRepresentation
bin10000011011100…
…00111110011000
3100121100022000002
420031300332120
5240240414300
621402032132
73262334441
oct1015607630
9317308002
10137826200
1170887956
123a1a8648
1322728a85
141443a2c8
15c1775d5
hex8370f98

137826200 has 24 divisors (see below), whose sum is σ = 320446380. Its totient is φ = 55130400.

The previous prime is 137826197. The next prime is 137826253. The reversal of 137826200 is 2628731.

It is a happy number.

It is a super-2 number, since 2×1378262002 = 37992122812880000, 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 344366 + ... + 344765.

Almost surely, 2137826200 is an apocalyptic number.

137826200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137826200 is an abundant number, since it is smaller than the sum of its proper divisors (182620180).

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

137826200 is a wasteful number, since it uses less digits than its factorization.

137826200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689147 (or 689138 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 137826200 is about 11739.9403746356. The cubic root of 137826200 is about 516.5478926885.

The spelling of 137826200 in words is "one hundred thirty-seven million, eight hundred twenty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 689131 1378262 2756524 3445655 5513048 6891310 13782620 17228275 27565240 34456550 68913100 137826200