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2106501540 = 22351113245513
BaseRepresentation
bin111110110001110…
…1010100110100100
312102210202100212120
41331203222212210
513303231022130
6545005345540
7103125652623
oct17543524644
95383670776
102106501540
11991079870
124a95682b0
13277556220
1415da9d6ba
15c4ded910
hex7d8ea9a4

2106501540 has 96 divisors (see below), whose sum is σ = 6929387136. Its totient is φ = 471383040.

The previous prime is 2106501539. The next prime is 2106501541. The reversal of 2106501540 is 451056012.

It is an interprime number because it is at equal distance from previous prime (2106501539) and next prime (2106501541).

It is a self number, because there is not a number n which added to its sum of digits gives 2106501540.

It is not an unprimeable number, because it can be changed into a prime (2106501541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114177 + ... + 131336.

It is an arithmetic number, because the mean of its divisors is an integer number (72181116).

Almost surely, 22106501540 is an apocalyptic number.

2106501540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106501540 is an abundant number, since it is smaller than the sum of its proper divisors (4822885596).

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

2106501540 is a wasteful number, since it uses less digits than its factorization.

2106501540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245549 (or 245547 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2106501540 is about 45896.6397462821. The cubic root of 2106501540 is about 1281.8993490083.

Adding to 2106501540 its reverse (451056012), we get a palindrome (2557557552).

The spelling of 2106501540 in words is "two billion, one hundred six million, five hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 245513 491026 736539 982052 1227565 1473078 2455130 2700643 2946156 3191669 3682695 4910260 5401286 6383338 7365390 8101929 9575007 10802572 12766676 13503215 14730780 15958345 16203858 19150014 27006430 31916690 32407716 35108359 38300028 40509645 47875035 54012860 63833380 70216718 81019290 95750070 105325077 140433436 162038580 175541795 191500140 210650154 351083590 421300308 526625385 702167180 1053250770 2106501540