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2430142660 = 22511151191383
BaseRepresentation
bin1001000011011001…
…0000100011000100
320021100202001000201
42100312100203010
514434104031120
61041050220244
7114135605011
oct22066204304
96240661021
102430142660
111037830170
12579a24684
132c961084a
14190a68708
15e352c40a
hex90d908c4

2430142660 has 96 divisors (see below), whose sum is σ = 5648154624. Its totient is φ = 870960000.

The previous prime is 2430142651. The next prime is 2430142691. The reversal of 2430142660 is 662410342.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6344829 + ... + 6345211.

It is an arithmetic number, because the mean of its divisors is an integer number (58834944).

Almost surely, 22430142660 is an apocalyptic number.

2430142660 is a gapful number since it is divisible by the number (20) 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 2430142660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824077312).

2430142660 is an abundant number, since it is smaller than the sum of its proper divisors (3218011964).

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

2430142660 is a wasteful number, since it uses less digits than its factorization.

2430142660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2430142660 is about 49296.4771560808. The cubic root of 2430142660 is about 1344.4477328022.

The spelling of 2430142660 in words is "two billion, four hundred thirty million, one hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 191 220 302 382 383 604 755 764 766 955 1510 1532 1661 1910 1915 2101 3020 3322 3820 3830 4202 4213 6644 7660 8305 8404 8426 10505 16610 16852 21010 21065 28841 33220 42020 42130 57682 57833 73153 84260 115364 115666 144205 146306 231332 288410 289165 292612 317251 365765 576820 578330 634502 636163 731530 804683 1156660 1269004 1272326 1463060 1586255 1609366 2544652 3172510 3180815 3218732 4023415 6345020 6361630 8046830 11046103 12723260 16093660 22092206 44184412 55230515 110461030 121507133 220922060 243014266 486028532 607535665 1215071330 2430142660