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129482640 = 243257231117
BaseRepresentation
bin1111011011110…
…11111110010000
3100000122101210100
413231323332100
5231121421030
620503132400
73131404260
oct755737620
9300571710
10129482640
11670a9251
1237444100
1320a97161
14132a77a0
15b57a360
hex7b7bf90

129482640 has 240 divisors, whose sum is σ = 519038208. Its totient is φ = 28283904.

The previous prime is 129482623. The next prime is 129482653. The reversal of 129482640 is 46284921.

129482640 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 8 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1294826402 = 33531508122739200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 129482595 and 129482604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115362 + ... + 116478.

Almost surely, 2129482640 is an apocalyptic number.

129482640 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 129482640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259519104).

129482640 is an abundant number, since it is smaller than the sum of its proper divisors (389555568).

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

129482640 is a wasteful number, since it uses less digits than its factorization.

129482640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 129482640 is about 11379.0438965671. The cubic root of 129482640 is about 505.9067980213.

The spelling of 129482640 in words is "one hundred twenty-nine million, four hundred eighty-two thousand, six hundred forty".