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1330740240 = 243519291829
BaseRepresentation
bin100111101010001…
…0111110000010000
310102202000121102120
41033110113300100
510211132141430
6340014214240
744656051104
oct11724276020
93382017376
101330740240
11623193925
123117b4380
1318290bb7b
14c8a43904
157bc63610
hex4f517c10

1330740240 has 80 divisors (see below), whose sum is σ = 4342430400. Its totient is φ = 336185856.

The previous prime is 1330740223. The next prime is 1330740241. The reversal of 1330740240 is 420470331.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1330740240.

It is not an unprimeable number, because it can be changed into a prime (1330740241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141355 + ... + 150474.

It is an arithmetic number, because the mean of its divisors is an integer number (54280380).

Almost surely, 21330740240 is an apocalyptic number.

1330740240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330740240 is an abundant number, since it is smaller than the sum of its proper divisors (3011690160).

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

1330740240 is a wasteful number, since it uses less digits than its factorization.

1330740240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291864 (or 291858 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 1330740240 is about 36479.3124935216. The cubic root of 1330740240 is about 1099.9284361156.

The spelling of 1330740240 in words is "one billion, three hundred thirty million, seven hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 291829 583658 875487 1167316 1459145 1750974 2334632 2918290 3501948 4377435 4669264 5544751 5836580 7003896 8754870 11089502 11673160 14007792 16634253 17509740 22179004 23346320 27723755 33268506 35019480 44358008 55447510 66537012 70038960 83171265 88716016 110895020 133074024 166342530 221790040 266148048 332685060 443580080 665370120 1330740240