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2612530140 = 22351131712487
BaseRepresentation
bin1001101110111000…
…0000101111011100
320202001221021121120
42123232000233130
520322301431030
61111123330540
7121512065643
oct23356005734
96661837546
102612530140
111120783620
1260ab20a50
1332833c32c
141aad8435a
15104558010
hex9bb80bdc

2612530140 has 96 divisors (see below), whose sum is σ = 8005906944. Its totient is φ = 631292160.

The previous prime is 2612530139. The next prime is 2612530147. The reversal of 2612530140 is 410352162.

It is a self number, because there is not a number n which added to its sum of digits gives 2612530140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612530147) 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, 202977 + ... + 215463.

It is an arithmetic number, because the mean of its divisors is an integer number (83394864).

Almost surely, 22612530140 is an apocalyptic number.

2612530140 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 2612530140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002953472).

2612530140 is an abundant number, since it is smaller than the sum of its proper divisors (5393376804).

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

2612530140 is a wasteful number, since it uses less digits than its factorization.

2612530140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12827 (or 12825 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2612530140 is about 51112.9155889194. The cubic root of 2612530140 is about 1377.2742774379.

It can be divided in two parts, 26125 and 30140, that added together give a palindrome (56265).

The spelling of 2612530140 in words is "two billion, six hundred twelve million, five hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 317 330 634 660 951 1268 1585 1902 3170 3487 3804 4755 6340 6974 9510 10461 12487 13948 17435 19020 20922 24974 34870 37461 41844 49948 52305 62435 69740 74922 104610 124870 137357 149844 187305 209220 249740 274714 374610 412071 549428 686785 749220 824142 1373570 1648284 2060355 2747140 3958379 4120710 7916758 8241420 11875137 15833516 19791895 23750274 39583790 43542169 47500548 59375685 79167580 87084338 118751370 130626507 174168676 217710845 237502740 261253014 435421690 522506028 653132535 870843380 1306265070 2612530140