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2085634320 = 2435711112859
BaseRepresentation
bin111110001010000…
…0100000100010000
312101100111012102120
41330110010010100
513232410244240
6542542214240
7102453412350
oct17424040420
95340435376
102085634320
11980316a30
124a2584380
1327312b163
1415adcab60
15c317aad0
hex7c504110

2085634320 has 160 divisors (see below), whose sum is σ = 8060912640. Its totient is φ = 433374720.

The previous prime is 2085634253. The next prime is 2085634361. The reversal of 2085634320 is 234365802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37950 + ... + 74909.

It is an arithmetic number, because the mean of its divisors is an integer number (50380704).

Almost surely, 22085634320 is an apocalyptic number.

2085634320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085634320 is an abundant number, since it is smaller than the sum of its proper divisors (5975278320).

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

2085634320 is a wasteful number, since it uses less digits than its factorization.

2085634320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112893 (or 112887 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2085634320 is about 45668.7455487886. The cubic root of 2085634320 is about 1277.6524190622.

The spelling of 2085634320 in words is "two billion, eighty-five million, six hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 112859 225718 338577 451436 564295 677154 790013 902872 1128590 1241449 1354308 1580026 1692885 1805744 2257180 2370039 2482898 2708616 3160052 3385770 3724347 3950065 4514360 4740078 4965796 5417232 6207245 6320104 6771540 7448694 7900130 8690143 9028720 9480156 9931592 11850195 12414490 12640208 13543080 14897388 15800260 17380286 18621735 18960312 19863184 23700390 24828980 26070429 27086160 29794776 31600520 34760572 37243470 37920624 43450715 47400780 49657960 52140858 59589552 63201040 69521144 74486940 86901430 94801560 99315920 104281716 130352145 139042288 148973880 173802860 189603120 208563432 260704290 297947760 347605720 417126864 521408580 695211440 1042817160 2085634320