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130551424 = 27592293
BaseRepresentation
bin1111100100000…
…00111010000000
3100002122200212221
413302000322000
5231410121144
620542100424
73143445253
oct762007200
9302580787
10130551424
1167769243
123787a714
132107c783
14134a509a
15b6dbd84
hex7c80e80

130551424 has 48 divisors (see below), whose sum is σ = 265468770. Its totient is φ = 63950336.

The previous prime is 130551419. The next prime is 130551431. The reversal of 130551424 is 424155031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 80425024 + 50126400 = 8968^2 + 7080^2 .

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, 445422 + ... + 445714.

Almost surely, 2130551424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132734385).

130551424 is an abundant number, since it is smaller than the sum of its proper divisors (134917346).

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

130551424 is an frugal number, since it uses more digits than its factorization.

130551424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 130551424 is about 11425.9102044432. The cubic root of 130551424 is about 507.2949485060.

The spelling of 130551424 in words is "one hundred thirty million, five hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 293 472 586 944 1172 1888 2344 3481 3776 4688 6962 7552 9376 13924 17287 18752 27848 34574 37504 55696 69148 111392 138296 222784 276592 445568 553184 1019933 1106368 2039866 2212736 4079732 8159464 16318928 32637856 65275712 130551424