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126990000 = 2432541783
BaseRepresentation
bin1111001000110…
…11011010110000
322211221202112100
413210123122300
5230002140000
620333500400
73101253144
oct744333260
9284852470
10126990000
1165756515
1236641700
1320403717
1412c19224
15b236a00
hex791b6b0

126990000 has 300 divisors, whose sum is σ = 475891416. Its totient is φ = 31488000.

The previous prime is 126989999. The next prime is 126990023. The reversal of 126990000 is 99621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1269900002 = 32252920200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1529959 + ... + 1530041.

Almost surely, 2126990000 is an apocalyptic number.

126990000 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 126990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945708).

126990000 is an abundant number, since it is smaller than the sum of its proper divisors (348901416).

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

126990000 is a wasteful number, since it uses less digits than its factorization.

126990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 126990000 is about 11268.9839825958. The cubic root of 126990000 is about 502.6393762042.

The spelling of 126990000 in words is "one hundred twenty-six million, nine hundred ninety thousand".