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2130403440 = 243511273361
BaseRepresentation
bin111111011111011…
…0110000001110000
312111110201201010010
41332332312001300
513330340402230
6551221534520
7103536062514
oct17676660160
95443651103
102130403440
119a3614700
124b5574440
1327c4a4669
14162d22144
15c70709b0
hex7efb6070

2130403440 has 120 divisors (see below), whose sum is σ = 7259316624. Its totient is φ = 516454400.

The previous prime is 2130403409. The next prime is 2130403459. The reversal of 2130403440 is 443040312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7641 + ... + 65720.

Almost surely, 22130403440 is an apocalyptic number.

2130403440 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 2130403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629658312).

2130403440 is an abundant number, since it is smaller than the sum of its proper divisors (5128913184).

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

2130403440 is a wasteful number, since it uses less digits than its factorization.

2130403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73399 (or 73382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2130403440 is about 46156.2936120309. The cubic root of 2130403440 is about 1286.7295801191.

Adding to 2130403440 its reverse (443040312), we get a palindrome (2573443752).

The spelling of 2130403440 in words is "two billion, one hundred thirty million, four hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 73361 146722 220083 293444 366805 440166 586888 733610 806971 880332 1100415 1173776 1467220 1613942 1760664 2200830 2420913 2934440 3227884 3521328 4034855 4401660 4841826 5868880 6455768 8069710 8803320 8876681 9683652 12104565 12911536 16139420 17606640 17753362 19367304 24209130 26630043 32278840 35506724 38734608 44383405 48418260 53260086 64557680 71013448 88766810 96836520 106520172 133150215 142026896 177533620 193673040 213040344 266300430 355067240 426080688 532600860 710134480 1065201720 2130403440