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2063047320 = 233456071049
BaseRepresentation
bin111101011110111…
…1001101010011000
312022202222122220000
41322331321222120
513211120003240
6540414133000
7102060420135
oct17275715230
95282878800
102063047320
11969599a94
12496ab1160
1326b550379
14157dcb58c
15c11b8430
hex7af79a98

2063047320 has 160 divisors (see below), whose sum is σ = 6952176000. Its totient is φ = 548716032.

The previous prime is 2063047319. The next prime is 2063047333. The reversal of 2063047320 is 237403602.

2063047320 is a `hidden beast` number, since 2 + 0 + 630 + 4 + 7 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1966156 + ... + 1967204.

It is an arithmetic number, because the mean of its divisors is an integer number (43451100).

Almost surely, 22063047320 is an apocalyptic number.

2063047320 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 2063047320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476088000).

2063047320 is an abundant number, since it is smaller than the sum of its proper divisors (4889128680).

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

2063047320 is a wasteful number, since it uses less digits than its factorization.

2063047320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2063047320 is about 45420.7807066325. The cubic root of 2063047320 is about 1273.0234287494.

The spelling of 2063047320 in words is "two billion, sixty-three million, forty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 607 648 810 1049 1080 1214 1620 1821 2098 2428 3035 3147 3240 3642 4196 4856 5245 5463 6070 6294 7284 8392 9105 9441 10490 10926 12140 12588 14568 15735 16389 18210 18882 20980 21852 24280 25176 27315 28323 31470 32778 36420 37764 41960 43704 47205 49167 54630 56646 62940 65556 72840 75528 81945 84969 94410 98334 109260 113292 125880 131112 141615 163890 169938 188820 196668 218520 226584 245835 283230 327780 339876 377640 393336 424845 491670 566460 636743 655560 679752 849690 983340 1132920 1273486 1699380 1910229 1966680 2546972 3183715 3398760 3820458 5093944 5730687 6367430 7640916 9551145 11461374 12734860 15281832 17192061 19102290 22922748 25469720 28653435 34384122 38204580 45845496 51576183 57306870 68768244 76409160 85960305 103152366 114613740 137536488 171920610 206304732 229227480 257880915 343841220 412609464 515761830 687682440 1031523660 2063047320