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2141505520 = 245711509683
BaseRepresentation
bin111111110100100…
…1100011111110000
312112020121202022021
41333221030133300
513341211134040
6552255521224
7104032332220
oct17751143760
95466552267
102141505520
119a9907880
124b9229214
13281890a3b
141645b2080
15c801524a
hex7fa4c7f0

2141505520 has 160 divisors (see below), whose sum is σ = 6228887040. Its totient is φ = 665195520.

The previous prime is 2141505491. The next prime is 2141505529. The reversal of 2141505520 is 255051412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141505529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3135099 + ... + 3135781.

It is an arithmetic number, because the mean of its divisors is an integer number (38930544).

Almost surely, 22141505520 is an apocalyptic number.

2141505520 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 2141505520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114443520).

2141505520 is an abundant number, since it is smaller than the sum of its proper divisors (4087381520).

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

2141505520 is a wasteful number, since it uses less digits than its factorization.

2141505520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 2141505520 is about 46276.4034903319. The cubic root of 2141505520 is about 1288.9608682002.

Adding to 2141505520 its reverse (255051412), we get a palindrome (2396556932).

The spelling of 2141505520 in words is "two billion, one hundred forty-one million, five hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 509 560 616 683 770 880 1018 1232 1366 1540 2036 2545 2732 3080 3415 3563 4072 4781 5090 5464 5599 6160 6830 7126 7513 8144 9562 10180 10928 11198 13660 14252 15026 17815 19124 20360 22396 23905 27320 27995 28504 30052 35630 37565 38248 39193 40720 44792 47810 52591 54640 55990 57008 60104 71260 75130 76496 78386 89584 95620 105182 111980 120208 142520 150260 156772 191240 195965 210364 223960 262955 285040 300520 313544 347647 382480 391930 420728 447920 525910 601040 627088 695294 783860 841456 1051820 1390588 1567720 1738235 2103640 2433529 2781176 3135440 3476470 3824117 4207280 4867058 5562352 6952940 7648234 9734116 12167645 13905880 15296468 19120585 19468232 24335290 26768819 27811760 30592936 38241170 38936464 48670580 53537638 61185872 76482340 97341160 107075276 133844095 152964680 194682320 214150552 267688190 305929360 428301104 535376380 1070752760 2141505520