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2123768460 = 22351131103801
BaseRepresentation
bin111111010010110…
…0010001010001100
312111000020121122010
41332211202022030
513322141042320
6550423421220
7103425506532
oct17645421214
95430217563
102123768460
1199a8a2750
124b32b4810
1327acc0638
141620b6152
15c66aeae0
hex7e96228c

2123768460 has 96 divisors (see below), whose sum is σ = 6696474624. Its totient is φ = 498240000.

The previous prime is 2123768419. The next prime is 2123768467. The reversal of 2123768460 is 648673212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2123768467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31441 + ... + 72360.

It is an arithmetic number, because the mean of its divisors is an integer number (69754944).

Almost surely, 22123768460 is an apocalyptic number.

2123768460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123768460 is an abundant number, since it is smaller than the sum of its proper divisors (4572706164).

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

2123768460 is a wasteful number, since it uses less digits than its factorization.

2123768460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103855 (or 103853 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2123768460 is about 46084.3624237116. The cubic root of 2123768460 is about 1285.3923837160.

The spelling of 2123768460 in words is "two billion, one hundred twenty-three million, seven hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 103801 207602 311403 415204 519005 622806 1038010 1141811 1245612 1557015 2076020 2283622 3114030 3217831 3425433 4567244 5709055 6228060 6435662 6850866 9653493 11418110 12871324 13701732 16089155 17127165 19306986 22836220 32178310 34254330 35396141 38613972 48267465 64356620 68508660 70792282 96534930 106188423 141584564 176980705 193069860 212376846 353961410 424753692 530942115 707922820 1061884230 2123768460