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2123141640 = 233531570737
BaseRepresentation
bin111111010001100…
…1001001000001000
312110222001202210120
41332203021020020
513322011013030
6550402143240
7103420256214
oct17643111010
95428052716
102123141640
1199a504814
124b3051b20
1327ab31239
14161d91944
15c65d9010
hex7e8c9208

2123141640 has 64 divisors (see below), whose sum is σ = 6574901760. Its totient is φ = 547906560.

The previous prime is 2123141639. The next prime is 2123141651. The reversal of 2123141640 is 461413212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2123141640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281649 + ... + 289088.

It is an arithmetic number, because the mean of its divisors is an integer number (102732840).

Almost surely, 22123141640 is an apocalyptic number.

2123141640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123141640 is an abundant number, since it is smaller than the sum of its proper divisors (4451760120).

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

2123141640 is a wasteful number, since it uses less digits than its factorization.

2123141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570782 (or 570778 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2123141640 is about 46077.5611333760. The cubic root of 2123141640 is about 1285.2659121555.

Adding to 2123141640 its reverse (461413212), we get a palindrome (2584554852).

The spelling of 2123141640 in words is "two billion, one hundred twenty-three million, one hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 570737 1141474 1712211 2282948 2853685 3424422 4565896 5707370 6848844 8561055 11414740 13697688 17122110 17692847 22829480 34244220 35385694 53078541 68488440 70771388 88464235 106157082 141542776 176928470 212314164 265392705 353856940 424628328 530785410 707713880 1061570820 2123141640