Search a number
-
+
129990336 = 2637241337
BaseRepresentation
bin1111011111101…
…11111011000000
3100001121012012220
413233313323000
5231234142321
620522051040
73135620400
oct757677300
9301535186
10129990336
1167415733
1237649a80
1320c14278
141339a800
15b62a9c6
hex7bf7ec0

129990336 has 168 divisors, whose sum is σ = 411059376. Its totient is φ = 36126720.

The previous prime is 129990331. The next prime is 129990349. The reversal of 129990336 is 633099921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (129990331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385560 + ... + 385896.

It is an arithmetic number, because the mean of its divisors is an integer number (2446782).

Almost surely, 2129990336 is an apocalyptic number.

129990336 is a gapful number since it is divisible by the number (16) 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 129990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205529688).

129990336 is an abundant number, since it is smaller than the sum of its proper divisors (281069040).

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

129990336 is a wasteful number, since it uses less digits than its factorization.

129990336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 129990336 is about 11401.3304486801. The cubic root of 129990336 is about 506.5671488138.

The spelling of 129990336 in words is "one hundred twenty-nine million, nine hundred ninety thousand, three hundred thirty-six".