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130729824 = 2532453923
BaseRepresentation
bin1111100101011…
…00011101100000
3100002222202121100
413302230131200
5231431323244
620545554400
73145120341
oct762543540
9302882540
10130729824
1167880285
1237945a00
1321112a34
14135100c8
15b724b69
hex7cac760

130729824 has 36 divisors (see below), whose sum is σ = 371763756. Its totient is φ = 43576512.

The previous prime is 130729811. The next prime is 130729831. The reversal of 130729824 is 428927031.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226674 + ... + 227249.

It is an arithmetic number, because the mean of its divisors is an integer number (10326771).

Almost surely, 2130729824 is an apocalyptic number.

It is an amenable number.

130729824 is an abundant number, since it is smaller than the sum of its proper divisors (241033932).

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

130729824 is a wasteful number, since it uses less digits than its factorization.

130729824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453939 (or 453928 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 130729824 is about 11433.7143571107. The cubic root of 130729824 is about 507.5259180952.

The spelling of 130729824 in words is "one hundred thirty million, seven hundred twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 453923 907846 1361769 1815692 2723538 3631384 4085307 5447076 7262768 8170614 10894152 14525536 16341228 21788304 32682456 43576608 65364912 130729824