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2115043440 = 243517539781
BaseRepresentation
bin111111000010001…
…0000000001110000
312110101211100011020
41332010100001300
513312422342230
6545512415440
7103261400256
oct17604200160
95411740136
102115043440
11995983494
124b03a7580
132792571c3
14160c845d6
15c5a39810
hex7e110070

2115043440 has 160 divisors (see below), whose sum is σ = 7074029376. Its totient is φ = 520765440.

The previous prime is 2115043429. The next prime is 2115043459. The reversal of 2115043440 is 443405112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2115043440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211350 + ... + 221130.

Almost surely, 22115043440 is an apocalyptic number.

2115043440 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 2115043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537014688).

2115043440 is an abundant number, since it is smaller than the sum of its proper divisors (4958985936).

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

2115043440 is a wasteful number, since it uses less digits than its factorization.

2115043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9867 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2115043440 is about 45989.6014333675. The cubic root of 2115043440 is about 1283.6297201911.

Adding to 2115043440 its reverse (443405112), we get a palindrome (2558448552).

The spelling of 2115043440 in words is "two billion, one hundred fifteen million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 53 60 68 80 85 102 106 120 136 159 170 204 212 240 255 265 272 318 340 408 424 510 530 636 680 795 816 848 901 1020 1060 1272 1360 1590 1802 2040 2120 2544 2703 3180 3604 4080 4240 4505 5406 6360 7208 9010 9781 10812 12720 13515 14416 18020 19562 21624 27030 29343 36040 39124 43248 48905 54060 58686 72080 78248 97810 108120 117372 146715 156496 166277 195620 216240 234744 293430 332554 391240 469488 498831 518393 586860 665108 782480 831385 997662 1036786 1173720 1330216 1555179 1662770 1995324 2073572 2347440 2494155 2591965 2660432 3110358 3325540 3990648 4147144 4988310 5183930 6220716 6651080 7775895 7981296 8294288 8812681 9976620 10367860 12441432 13302160 15551790 17625362 19953240 20735720 24882864 26438043 31103580 35250724 39906480 41471440 44063405 52876086 62207160 70501448 88126810 105752172 124414320 132190215 141002896 176253620 211504344 264380430 352507240 423008688 528760860 705014480 1057521720 2115043440