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2030405120 = 2951495323
BaseRepresentation
bin111100100000101…
…1000011000000000
312020111120021012122
41321001120120000
513124240430440
6533250343412
7101213105312
oct17101303000
95214507178
102030405120
11952124467
12487b8ab68
13264861863
141539317b2
15bd3bb7b5
hex79058600

2030405120 has 80 divisors (see below), whose sum is σ = 4901806800. Its totient is φ = 806559744.

The previous prime is 2030405107. The next prime is 2030405129. The reversal of 2030405120 is 215040302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030405129) 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, 378779 + ... + 384101.

It is an arithmetic number, because the mean of its divisors is an integer number (61272585).

Almost surely, 22030405120 is an apocalyptic number.

2030405120 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 2030405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450903400).

2030405120 is an abundant number, since it is smaller than the sum of its proper divisors (2871401680).

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

2030405120 is an equidigital number, since it uses as much as digits as its factorization.

2030405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2030405120 is about 45060.0168663972. The cubic root of 2030405120 is about 1266.2736410673.

Adding to 2030405120 its reverse (215040302), we get a palindrome (2245445422).

The spelling of 2030405120 in words is "two billion, thirty million, four hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 256 298 320 512 596 640 745 1192 1280 1490 2384 2560 2980 4768 5323 5960 9536 10646 11920 19072 21292 23840 26615 38144 42584 47680 53230 76288 85168 95360 106460 170336 190720 212920 340672 381440 425840 681344 793127 851680 1362688 1586254 1703360 2725376 3172508 3406720 3965635 6345016 6813440 7931270 12690032 13626880 15862540 25380064 31725080 50760128 63450160 101520256 126900320 203040512 253800640 406081024 507601280 1015202560 2030405120