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2129136720 = 243567132409
BaseRepresentation
bin111111011101000…
…0000110001010000
312111101100100111120
41332322000301100
513330024333340
6551134442240
7103522235454
oct17672006120
95441310446
102129136720
119a2929a27
124b5063380
1327c14cc19
14162ab2664
15c6dc04d0
hex7ee80c50

2129136720 has 80 divisors (see below), whose sum is σ = 6698886720. Its totient is φ = 559291392.

The previous prime is 2129136689. The next prime is 2129136731. The reversal of 2129136720 is 276319212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50125 + ... + 82284.

It is an arithmetic number, because the mean of its divisors is an integer number (83736084).

Almost surely, 22129136720 is an apocalyptic number.

2129136720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129136720 is an abundant number, since it is smaller than the sum of its proper divisors (4569750000).

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

2129136720 is a wasteful number, since it uses less digits than its factorization.

2129136720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132492 (or 132486 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2129136720 is about 46142.5694993246. The cubic root of 2129136720 is about 1286.4745033550.

The spelling of 2129136720 in words is "two billion, one hundred twenty-nine million, one hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 132409 264818 397227 529636 662045 794454 1059272 1324090 1588908 1986135 2118544 2648180 3177816 3972270 5296360 6355632 7944540 8871403 10592720 15889080 17742806 26614209 31778160 35485612 44357015 53228418 70971224 88714030 106456836 133071045 141942448 177428060 212913672 266142090 354856120 425827344 532284180 709712240 1064568360 2129136720