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130549824 = 2632226649
BaseRepresentation
bin1111100100000…
…00100001000000
3100002122121200200
413302000201000
5231410043244
620542045200
73143440506
oct762004100
9302577620
10130549824
1167768019
1237879800
132107bb22
14134a4676
15b6db669
hex7c80840

130549824 has 42 divisors (see below), whose sum is σ = 374199150. Its totient is φ = 43516416.

The previous prime is 130549799. The next prime is 130549829. The reversal of 130549824 is 428945031.

130549824 is a `hidden beast` number, since 1 + 30 + 549 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129960000 + 589824 = 11400^2 + 768^2 .

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

It is not an unprimeable number, because it can be changed into a prime (130549829) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112749 + ... + 113900.

Almost surely, 2130549824 is an apocalyptic number.

It is an amenable number.

130549824 is an abundant number, since it is smaller than the sum of its proper divisors (243649326).

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

130549824 is a wasteful number, since it uses less digits than its factorization.

130549824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226667 (or 226654 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 130549824 is about 11425.8401879249. The cubic root of 130549824 is about 507.2928760781.

The spelling of 130549824 in words is "one hundred thirty million, five hundred forty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 226649 453298 679947 906596 1359894 1813192 2039841 2719788 3626384 4079682 5439576 7252768 8159364 10879152 14505536 16318728 21758304 32637456 43516608 65274912 130549824