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1330801840 = 245432831367
BaseRepresentation
bin100111101010010…
…0110110010110000
310102202010201221001
41033110212302300
510211141124330
6340015411344
744656425514
oct11724466260
93382121831
101330801840
11623226135
12311823b54
13182930c14
14c8a5c144
157bc769ca
hex4f526cb0

1330801840 has 80 divisors (see below), whose sum is σ = 3179582208. Its totient is φ = 517724928.

The previous prime is 1330801811. The next prime is 1330801841. The reversal of 1330801840 is 481080331.

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

It is a junction number, because it is equal to n+sod(n) for n = 1330801799 and 1330801808.

It is not an unprimeable number, because it can be changed into a prime (1330801841) 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, 972837 + ... + 974203.

Almost surely, 21330801840 is an apocalyptic number.

1330801840 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 1330801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589791104).

1330801840 is an abundant number, since it is smaller than the sum of its proper divisors (1848780368).

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

1330801840 is a wasteful number, since it uses less digits than its factorization.

1330801840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1330801840 is about 36480.1567979086. The cubic root of 1330801840 is about 1099.9454077590.

The spelling of 1330801840 in words is "one billion, three hundred thirty million, eight hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 283 344 430 566 688 860 1132 1367 1415 1720 2264 2734 2830 3440 4528 5468 5660 6835 10936 11320 12169 13670 21872 22640 24338 27340 48676 54680 58781 60845 97352 109360 117562 121690 194704 235124 243380 293905 386861 470248 486760 587810 773722 940496 973520 1175620 1547444 1934305 2351240 3094888 3868610 4702480 6189776 7737220 15474440 16635023 30948880 33270046 66540092 83175115 133080184 166350230 266160368 332700460 665400920 1330801840