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2085140320 = 25533738671
BaseRepresentation
bin111110001001000…
…1011011101100000
312101022120002210021
41330102023131200
513232243442240
6542523443224
7102446254204
oct17422133540
95338502707
102085140320
1198000986a
124a2386514
13272cb7353
1415acdcb04
15c30ce54a
hex7c48b760

2085140320 has 48 divisors (see below), whose sum is σ = 4940889408. Its totient is φ = 831559680.

The previous prime is 2085140293. The next prime is 2085140329. The reversal of 2085140320 is 230415802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085140329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34585 + ... + 73255.

It is an arithmetic number, because the mean of its divisors is an integer number (102935196).

Almost surely, 22085140320 is an apocalyptic number.

2085140320 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 2085140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470444704).

2085140320 is an abundant number, since it is smaller than the sum of its proper divisors (2855749088).

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

2085140320 is a wasteful number, since it uses less digits than its factorization.

2085140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39023 (or 39015 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2085140320 is about 45663.3367155752. The cubic root of 2085140320 is about 1277.5515368626.

The spelling of 2085140320 in words is "two billion, eighty-five million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 337 674 1348 1685 2696 3370 5392 6740 10784 13480 26960 38671 53920 77342 154684 193355 309368 386710 618736 773420 1237472 1546840 3093680 6187360 13032127 26064254 52128508 65160635 104257016 130321270 208514032 260642540 417028064 521285080 1042570160 2085140320