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2120405320 = 2351119253637
BaseRepresentation
bin111111001100010…
…1101000101001000
312110202220202021101
41332120231011020
513320310432240
6550223351144
7103355101465
oct17630550510
95422822241
102120405320
11998a059a0
124b21524b4
1327a3b3907
1416187c66c
15c624839a
hex7e62d148

2120405320 has 64 divisors (see below), whose sum is σ = 5478580800. Its totient is φ = 730471680.

The previous prime is 2120405311. The next prime is 2120405321. The reversal of 2120405320 is 235040212.

It is a super-2 number, since 2×21204053202 = 8992237442168604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2120405321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118459 + ... + 135178.

It is an arithmetic number, because the mean of its divisors is an integer number (85602825).

Almost surely, 22120405320 is an apocalyptic number.

2120405320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120405320 is an abundant number, since it is smaller than the sum of its proper divisors (3358175480).

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

2120405320 is a wasteful number, since it uses less digits than its factorization.

2120405320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253678 (or 253674 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2120405320 is about 46047.8590164624. The cubic root of 2120405320 is about 1284.7135215055.

Adding to 2120405320 its reverse (235040212), we get a palindrome (2355445532).

The spelling of 2120405320 in words is "two billion, one hundred twenty million, four hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 253637 507274 1014548 1268185 2029096 2536370 2790007 4819103 5072740 5580014 9638206 10145480 11160028 13950035 19276412 22320056 24095515 27900070 38552824 48191030 53010133 55800140 96382060 106020266 111600280 192764120 212040532 265050665 424081064 530101330 1060202660 2120405320