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129650976 = 25337131797
BaseRepresentation
bin1111011101001…
…01000100100000
3100000221221201000
413232211010200
5231142312401
620510512000
73133005120
oct756450440
9300857630
10129650976
1167203774
1237505600
1320b25970
141330cc80
15b5b0186
hex7ba5120

129650976 has 384 divisors, whose sum is σ = 497871360. Its totient is φ = 31850496.

The previous prime is 129650971. The next prime is 129650981. The reversal of 129650976 is 679056921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129650971) and next prime (129650981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129650971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1336560 + ... + 1336656.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540).

Almost surely, 2129650976 is an apocalyptic number.

129650976 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 129650976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248935680).

129650976 is an abundant number, since it is smaller than the sum of its proper divisors (368220384).

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

129650976 is a wasteful number, since it uses less digits than its factorization.

129650976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 129650976 is about 11386.4382490751. The cubic root of 129650976 is about 506.1259405201.

The spelling of 129650976 in words is "one hundred twenty-nine million, six hundred fifty thousand, nine hundred seventy-six".