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1530352032 = 2531112711411
BaseRepresentation
bin101101100110111…
…0101000110100000
310221122121221022220
41123031311012200
511113232231112
6411504431040
752631530506
oct13315650640
93848557286
101530352032
11715931150
12368618480
131b508b561
14107364676
158e54298c
hex5b3751a0

1530352032 has 96 divisors (see below), whose sum is σ = 4417265664. Its totient is φ = 460051200.

The previous prime is 1530352013. The next prime is 1530352067. The reversal of 1530352032 is 2302530351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1530351993 and 1530352011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128407 + ... + 139817.

It is an arithmetic number, because the mean of its divisors is an integer number (46013184).

Almost surely, 21530352032 is an apocalyptic number.

1530352032 is a gapful number since it is divisible by the number (12) 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 1530352032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208632832).

1530352032 is an abundant number, since it is smaller than the sum of its proper divisors (2886913632).

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

1530352032 is a wasteful number, since it uses less digits than its factorization.

1530352032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11562 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 1530352032 is about 39119.7141093848. The cubic root of 1530352032 is about 1152.3837215155.

Adding to 1530352032 its reverse (2302530351), we get a palindrome (3832882383).

The spelling of 1530352032 in words is "one billion, five hundred thirty million, three hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 127 132 176 254 264 352 381 508 528 762 1016 1056 1397 1524 2032 2794 3048 4064 4191 5588 6096 8382 11176 11411 12192 16764 22352 22822 33528 34233 44704 45644 67056 68466 91288 125521 134112 136932 182576 251042 273864 365152 376563 502084 547728 753126 1004168 1095456 1449197 1506252 2008336 2898394 3012504 4016672 4347591 5796788 6025008 8695182 11593576 12050016 15941167 17390364 23187152 31882334 34780728 46374304 47823501 63764668 69561456 95647002 127529336 139122912 191294004 255058672 382588008 510117344 765176016 1530352032