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2746103140 = 22511831011489
BaseRepresentation
bin1010001110101110…
…0011010101100100
321002101021111022201
42203223203111210
521111000300030
61132254304244
7125023330414
oct24353432544
97071244281
102746103140
11118a115a30
126477b8084
13349c09201
141c09d4644
151111402ca
hexa3ae3564

2746103140 has 96 divisors (see below), whose sum is σ = 6434225280. Its totient is φ = 976128000.

The previous prime is 2746103131. The next prime is 2746103141. The reversal of 2746103140 is 413016472.

2746103140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2746103099 and 2746103108.

It is not an unprimeable number, because it can be changed into a prime (2746103141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1843516 + ... + 1845004.

It is an arithmetic number, because the mean of its divisors is an integer number (67023180).

Almost surely, 22746103140 is an apocalyptic number.

2746103140 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 2746103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217112640).

2746103140 is an abundant number, since it is smaller than the sum of its proper divisors (3688122140).

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

2746103140 is a wasteful number, since it uses less digits than its factorization.

2746103140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2746103140 is about 52403.2741343516. The cubic root of 2746103140 is about 1400.3575855291.

The spelling of 2746103140 in words is "two billion, seven hundred forty-six million, one hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 101 110 166 202 220 332 404 415 505 830 913 1010 1111 1489 1660 1826 2020 2222 2978 3652 4444 4565 5555 5956 7445 8383 9130 11110 14890 16379 16766 18260 22220 29780 32758 33532 41915 65516 81895 83830 92213 123587 150389 163790 167660 184426 247174 300778 327580 368852 461065 494348 601556 617935 751945 922130 1235870 1359457 1503890 1654279 1844260 2471740 2718914 3007780 3308558 5437828 6617116 6797285 8271395 12482287 13594570 16542790 24964574 27189140 33085580 49929148 62411435 124822870 137305157 249645740 274610314 549220628 686525785 1373051570 2746103140