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129987000 = 2332531113101
BaseRepresentation
bin1111011111101…
…11000110111000
3100001121000122100
413233313012320
5231234041000
620522023400
73135604563
oct757670670
9301530570
10129987000
1167413180
1237647b60
1320c128b0
14133994da
15b629a00
hex7bf71b8

129987000 has 384 divisors, whose sum is σ = 521277120. Its totient is φ = 28800000.

The previous prime is 129986993. The next prime is 129987001. The reversal of 129987000 is 789921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129987001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1286950 + ... + 1287050.

Almost surely, 2129987000 is an apocalyptic number.

129987000 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 129987000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260638560).

129987000 is an abundant number, since it is smaller than the sum of its proper divisors (391290120).

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

129987000 is a wasteful number, since it uses less digits than its factorization.

129987000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 129987000 is about 11401.1841490259. The cubic root of 129987000 is about 506.5628153571.

The spelling of 129987000 in words is "one hundred twenty-nine million, nine hundred eighty-seven thousand".