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2114126520 = 2335112145601
BaseRepresentation
bin111111000000011…
…0000001010111000
312110100002202101020
41332000300022320
513312204022040
6545441022440
7103250531112
oct17600601270
95410082336
102114126520
11995407600
124b0024a20
13278cc5a4c
14160ac63b2
15c5907cd0
hex7e0302b8

2114126520 has 96 divisors (see below), whose sum is σ = 6971423760. Its totient is φ = 512512000.

The previous prime is 2114126491. The next prime is 2114126533. The reversal of 2114126520 is 256214112.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58281 + ... + 87320.

Almost surely, 22114126520 is an apocalyptic number.

2114126520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114126520 is an abundant number, since it is smaller than the sum of its proper divisors (4857297240).

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

2114126520 is a wasteful number, since it uses less digits than its factorization.

2114126520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145637 (or 145622 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2114126520 is about 45979.6315774713. The cubic root of 2114126520 is about 1283.4441990389. Note that the first 3 decimals are identical.

The spelling of 2114126520 in words is "two billion, one hundred fourteen million, one hundred twenty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 145601 291202 436803 582404 728005 873606 1164808 1456010 1601611 1747212 2184015 2912020 3203222 3494424 4368030 4804833 5824040 6406444 8008055 8736060 9609666 12812888 16016110 17472120 17617721 19219332 24024165 32032220 35235442 38438664 48048330 52853163 64064440 70470884 88088605 96096660 105706326 140941768 176177210 192193320 211412652 264265815 352354420 422825304 528531630 704708840 1057063260 2114126520