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2024116260 = 223573521887
BaseRepresentation
bin111100010100101…
…1001000000100100
312020001201202111220
41320221121000210
513121133210020
6532503500340
7101105463405
oct17051310044
95201652456
102024116260
11949619561
12485a576b0
1326346c23a
14152b759ac
15bca78240
hex78a59024

2024116260 has 96 divisors (see below), whose sum is σ = 5762679552. Its totient is φ = 530749440.

The previous prime is 2024116247. The next prime is 2024116267. The reversal of 2024116260 is 626114202.

It is a self number, because there is not a number n which added to its sum of digits gives 2024116260.

It is not an unprimeable number, because it can be changed into a prime (2024116267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2281537 + ... + 2282423.

It is an arithmetic number, because the mean of its divisors is an integer number (60027912).

Almost surely, 22024116260 is an apocalyptic number.

2024116260 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 2024116260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881339776).

2024116260 is an abundant number, since it is smaller than the sum of its proper divisors (3738563292).

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

2024116260 is a wasteful number, since it uses less digits than its factorization.

2024116260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2024116260 is about 44990.1795951072. The cubic root of 2024116260 is about 1264.9649279178.

The spelling of 2024116260 in words is "two billion, twenty-four million, one hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 521 730 876 887 1042 1095 1460 1563 1774 2084 2190 2605 2661 3126 3548 4380 4435 5210 5322 6252 7815 8870 10420 10644 13305 15630 17740 26610 31260 38033 53220 64751 76066 114099 129502 152132 190165 194253 228198 259004 323755 380330 388506 456396 462127 570495 647510 760660 777012 924254 971265 1140990 1295020 1386381 1848508 1942530 2281980 2310635 2772762 3885060 4621270 5545524 6931905 9242540 13863810 27727620 33735271 67470542 101205813 134941084 168676355 202411626 337352710 404823252 506029065 674705420 1012058130 2024116260