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129630480 = 24357273151
BaseRepresentation
bin1111011101000…
…00000100010000
3100000220220120220
413232200010100
5231141133410
620510233040
73132561300
oct756400420
9300826526
10129630480
116719a331
12374b5780
1320b19535
1413305600
15b5a9070
hex7ba0110

129630480 has 240 divisors, whose sum is σ = 477005184. Its totient is φ = 29030400.

The previous prime is 129630439. The next prime is 129630503. The reversal of 129630480 is 84036921.

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

It is a super-2 number, since 2×1296304802 = 33608122690060800, which contains 22 as substring.

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, 858405 + ... + 858555.

Almost surely, 2129630480 is an apocalyptic number.

129630480 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 129630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238502592).

129630480 is an abundant number, since it is smaller than the sum of its proper divisors (347374704).

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

129630480 is a wasteful number, since it uses less digits than its factorization.

129630480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 129630480 is about 11385.5381954478. The cubic root of 129630480 is about 506.0992686448.

The spelling of 129630480 in words is "one hundred twenty-nine million, six hundred thirty thousand, four hundred eighty".