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2064185340 = 2235713137517
BaseRepresentation
bin111101100001000…
…1111011111111100
312022212010110221220
41323002033133330
513211412412330
6540454353340
7102103200030
oct17302173774
95285113856
102064185340
1196a1a6aa8
1249735b850
1326b85b359
141582061c0
15c1340710
hex7b08f7fc

2064185340 has 96 divisors (see below), whose sum is σ = 6655993344. Its totient is φ = 468199680.

The previous prime is 2064185239. The next prime is 2064185399. The reversal of 2064185340 is 435814602.

It is a super-2 number, since 2×20641853402 = 8521722235741831200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36262 + ... + 73778.

It is an arithmetic number, because the mean of its divisors is an integer number (69333264).

Almost surely, 22064185340 is an apocalyptic number.

2064185340 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 2064185340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327996672).

2064185340 is an abundant number, since it is smaller than the sum of its proper divisors (4591808004).

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

2064185340 is a wasteful number, since it uses less digits than its factorization.

2064185340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37667 (or 37665 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2064185340 is about 45433.3065052501. The cubic root of 2064185340 is about 1273.2574611615.

Adding to 2064185340 its reverse (435814602), we get a palindrome (2499999942).

The spelling of 2064185340 in words is "two billion, sixty-four million, one hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 131 140 210 262 393 420 524 655 786 917 1310 1572 1834 1965 2620 2751 3668 3930 4585 5502 7860 9170 11004 13755 18340 27510 37517 55020 75034 112551 150068 187585 225102 262619 375170 450204 525238 562755 750340 787857 1050476 1125510 1313095 1575714 2251020 2626190 3151428 3939285 4914727 5252380 7878570 9829454 14744181 15757140 19658908 24573635 29488362 34403089 49147270 58976724 68806178 73720905 98294540 103209267 137612356 147441810 172015445 206418534 294883620 344030890 412837068 516046335 688061780 1032092670 2064185340