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2064350520 = 2332535915973
BaseRepresentation
bin111101100001011…
…0111110100111000
312022212102212112200
41323002313310320
513211433204040
6540502110200
7102104455431
oct17302676470
95285385480
102064350520
1196a2aa111
1249741b360
1326b8b85ab
1415824a488
15c1374630
hex7b0b7d38

2064350520 has 96 divisors (see below), whose sum is σ = 6728248800. Its totient is φ = 548925696.

The previous prime is 2064350503. The next prime is 2064350537. The reversal of 2064350520 is 250534602.

2064350520 is a `hidden beast` number, since 206 + 435 + 0 + 5 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2064350503) and next prime (2064350537).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121254 + ... + 137226.

It is an arithmetic number, because the mean of its divisors is an integer number (70085925).

Almost surely, 22064350520 is an apocalyptic number.

2064350520 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 2064350520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364124400).

2064350520 is an abundant number, since it is smaller than the sum of its proper divisors (4663898280).

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

2064350520 is a wasteful number, since it uses less digits than its factorization.

2064350520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16349 (or 16342 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2064350520 is about 45435.1242982783. The cubic root of 2064350520 is about 1273.2914230759.

It can be divided in two parts, 20643505 and 20, that added together give a triangular number (20643525 = T6425).

The spelling of 2064350520 in words is "two billion, sixty-four million, three hundred fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 359 360 718 1077 1436 1795 2154 2872 3231 3590 4308 5385 6462 7180 8616 10770 12924 14360 15973 16155 21540 25848 31946 32310 43080 47919 63892 64620 79865 95838 127784 129240 143757 159730 191676 239595 287514 319460 383352 479190 575028 638920 718785 958380 1150056 1437570 1916760 2875140 5734307 5750280 11468614 17202921 22937228 28671535 34405842 45874456 51608763 57343070 68811684 86014605 103217526 114686140 137623368 172029210 206435052 229372280 258043815 344058420 412870104 516087630 688116840 1032175260 2064350520