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2114025540 = 2235116747807
BaseRepresentation
bin111111000000001…
…0111100001000100
312110022220121212020
41332000113201010
513312142304130
6545434523140
7103246630524
oct17600274104
95408817766
102114025540
11995348750
124abb964b0
13278c8bab3
14160a9b684
15c58d7e10
hex7e017844

2114025540 has 96 divisors (see below), whose sum is σ = 6553903104. Its totient is φ = 504831360.

The previous prime is 2114025527. The next prime is 2114025553. The reversal of 2114025540 is 455204112.

It is an interprime number because it is at equal distance from previous prime (2114025527) and next prime (2114025553).

It is a self number, because there is not a number n which added to its sum of digits gives 2114025540.

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 31 ways as a sum of consecutive naturals, for example, 20317 + ... + 68123.

It is an arithmetic number, because the mean of its divisors is an integer number (68269824).

Almost surely, 22114025540 is an apocalyptic number.

2114025540 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 2114025540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276951552).

2114025540 is an abundant number, since it is smaller than the sum of its proper divisors (4439877564).

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

2114025540 is a wasteful number, since it uses less digits than its factorization.

2114025540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47897 (or 47895 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2114025540 is about 45978.5334694355. The cubic root of 2114025540 is about 1283.4237643965.

Adding to 2114025540 its reverse (455204112), we get a palindrome (2569229652).

The spelling of 2114025540 in words is "two billion, one hundred fourteen million, twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 268 330 335 402 660 670 737 804 1005 1340 1474 2010 2211 2948 3685 4020 4422 7370 8844 11055 14740 22110 44220 47807 95614 143421 191228 239035 286842 478070 525877 573684 717105 956140 1051754 1434210 1577631 2103508 2629385 2868420 3155262 3203069 5258770 6310524 6406138 7888155 9609207 10517540 12812276 15776310 16015345 19218414 31552620 32030690 35233759 38436828 48046035 64061380 70467518 96092070 105701277 140935036 176168795 192184140 211402554 352337590 422805108 528506385 704675180 1057012770 2114025540