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2662114240 = 26535923173
BaseRepresentation
bin1001111010101100…
…1010001111000000
320212112020102012201
42132223022033000
520423000123430
61120054202544
7122653412002
oct23653121700
96775212181
102662114240
11114676a915
12623653454
133356b0336
141b37b0372
15108a9e8ca
hex9eaca3c0

2662114240 has 56 divisors (see below), whose sum is σ = 6357091680. Its totient is φ = 1061833728.

The previous prime is 2662114211. The next prime is 2662114241. The reversal of 2662114240 is 424112662.

It is a junction number, because it is equal to n+sod(n) for n = 2662114199 and 2662114208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2662114241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103294 + ... + 126466.

Almost surely, 22662114240 is an apocalyptic number.

2662114240 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 2662114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178545840).

2662114240 is an abundant number, since it is smaller than the sum of its proper divisors (3694977440).

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

2662114240 is a wasteful number, since it uses less digits than its factorization.

2662114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23549 (or 23539 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2662114240 is about 51595.6804393546. The cubic root of 2662114240 is about 1385.9329801353.

The spelling of 2662114240 in words is "two billion, six hundred sixty-two million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 359 718 1436 1795 2872 3590 5744 7180 11488 14360 22976 23173 28720 46346 57440 92692 114880 115865 185384 231730 370768 463460 741536 926920 1483072 1853840 3707680 7415360 8319107 16638214 33276428 41595535 66552856 83191070 133105712 166382140 266211424 332764280 532422848 665528560 1331057120 2662114240