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1530098440 = 235134796143
BaseRepresentation
bin101101100110011…
…0111001100001000
310221122011001110121
41123030313030020
511113201122230
6411455153024
752626423253
oct13314671410
93848131417
101530098440
11715778672
12368515774
131b4ccccc0
141072da09a
158e4e277a
hex5b337308

1530098440 has 64 divisors (see below), whose sum is σ = 3715891200. Its totient is φ = 563688192.

The previous prime is 1530098431. The next prime is 1530098473. The reversal of 1530098440 is 448900351.

It is a junction number, because it is equal to n+sod(n) for n = 1530098396 and 1530098405.

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, 246009 + ... + 252151.

It is an arithmetic number, because the mean of its divisors is an integer number (58060800).

Almost surely, 21530098440 is an apocalyptic number.

1530098440 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 1530098440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857945600).

1530098440 is an abundant number, since it is smaller than the sum of its proper divisors (2185792760).

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

1530098440 is a wasteful number, since it uses less digits than its factorization.

1530098440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1530098440 is about 39116.4727448680. The cubic root of 1530098440 is about 1152.3200648252.

Adding to 1530098440 its reverse (448900351), we get a palindrome (1978998791).

The spelling of 1530098440 in words is "one billion, five hundred thirty million, ninety-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 479 520 958 1916 2395 3832 4790 6143 6227 9580 12286 12454 19160 24572 24908 30715 31135 49144 49816 61430 62270 79859 122860 124540 159718 245720 249080 319436 399295 638872 798590 1597180 2942497 3194360 5884994 11769988 14712485 23539976 29424970 38252461 58849940 76504922 117699880 153009844 191262305 306019688 382524610 765049220 1530098440