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2064242600 = 23527330091
BaseRepresentation
bin111101100001001…
…1101011110101000
312022212020101111122
41323002131132220
513211421230400
6540455514412
7102103526000
oct17302353650
95285211448
102064242600
1196a236022
12497388a08
1326b87b434
1415821d000
15c1352685
hex7b09d7a8

2064242600 has 96 divisors (see below), whose sum is σ = 5597112000. Its totient is φ = 707716800.

The previous prime is 2064242549. The next prime is 2064242611. The reversal of 2064242600 is 62424602.

It is a super-2 number, since 2×20642426002 = 8522195023309520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2064242600.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 53555 + ... + 83645.

It is an arithmetic number, because the mean of its divisors is an integer number (58303250).

Almost surely, 22064242600 is an apocalyptic number.

2064242600 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 2064242600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798556000).

2064242600 is an abundant number, since it is smaller than the sum of its proper divisors (3532869400).

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

2064242600 is a wasteful number, since it uses less digits than its factorization.

2064242600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30128 (or 30105 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2064242600 is about 45433.9366553241. The cubic root of 2064242600 is about 1273.2692343369.

The spelling of 2064242600 in words is "two billion, sixty-four million, two hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 686 700 980 1225 1372 1400 1715 1960 2450 2744 3430 4900 6860 8575 9800 13720 17150 30091 34300 60182 68600 120364 150455 210637 240728 300910 421274 601820 752275 842548 1053185 1203640 1474459 1504550 1685096 2106370 2948918 3009100 4212740 5265925 5897836 6018200 7372295 8425480 10321213 10531850 11795672 14744590 20642426 21063700 29489180 36861475 41284852 42127400 51606065 58978360 73722950 82569704 103212130 147445900 206424260 258030325 294891800 412848520 516060650 1032121300 2064242600