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2121000984 = 233373134513
BaseRepresentation
bin111111001101011…
…1110100000011000
312110211001000101000
41332122332200120
513320434012414
6550244225000
7103363132224
oct17632764030
95424030330
102121000984
11999282483
124b239b160
1327a561a8b
14161995784
15c6314b09
hex7e6be818

2121000984 has 64 divisors (see below), whose sum is σ = 5972421600. Its totient is φ = 697310208.

The previous prime is 2121000967. The next prime is 2121000991. The reversal of 2121000984 is 4890001212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 51489 + ... + 83024.

Almost surely, 22121000984 is an apocalyptic number.

2121000984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121000984 is an abundant number, since it is smaller than the sum of its proper divisors (3851420616).

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

2121000984 is a wasteful number, since it uses less digits than its factorization.

2121000984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134601 (or 134591 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2121000984 is about 46054.3264417145. The cubic root of 2121000984 is about 1284.8338107635.

The spelling of 2121000984 in words is "two billion, one hundred twenty-one million, nine hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 5256 7884 15768 134513 269026 403539 538052 807078 1076104 1210617 1614156 2421234 3228312 3631851 4842468 7263702 9684936 9819449 14527404 19638898 29054808 29458347 39277796 58916694 78555592 88375041 117833388 176750082 235666776 265125123 353500164 530250246 707000328 1060500492 2121000984