Search a number
-
+
2124960120 = 2332526921943
BaseRepresentation
bin111111010101000…
…0101000101111000
312111002111011021200
41332222011011320
513322442210440
6550505134200
7103441602003
oct17652050570
95432434250
102124960120
119a0536a98
124b378a360
1327b319b6a
1416230653a
15c6847c30
hex7ea85178

2124960120 has 96 divisors (see below), whose sum is σ = 6932109600. Its totient is φ = 564523776.

The previous prime is 2124960113. The next prime is 2124960121. The reversal of 2124960120 is 210694212.

2124960120 is a `hidden beast` number, since 2 + 12 + 49 + 601 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124960121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85869 + ... + 107811.

It is an arithmetic number, because the mean of its divisors is an integer number (72209475).

Almost surely, 22124960120 is an apocalyptic number.

2124960120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124960120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466054800).

2124960120 is an abundant number, since it is smaller than the sum of its proper divisors (4807149480).

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

2124960120 is a wasteful number, since it uses less digits than its factorization.

2124960120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22229 (or 22222 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2124960120 is about 46097.2897251021. The cubic root of 2124960120 is about 1285.6327527133.

The spelling of 2124960120 in words is "two billion, one hundred twenty-four million, nine hundred sixty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 269 360 538 807 1076 1345 1614 2152 2421 2690 3228 4035 4842 5380 6456 8070 9684 10760 12105 16140 19368 21943 24210 32280 43886 48420 65829 87772 96840 109715 131658 175544 197487 219430 263316 329145 394974 438860 526632 658290 789948 877720 987435 1316580 1579896 1974870 2633160 3949740 5902667 7899480 11805334 17708001 23610668 29513335 35416002 47221336 53124003 59026670 70832004 88540005 106248006 118053340 141664008 177080010 212496012 236106680 265620015 354160020 424992024 531240030 708320040 1062480060 2124960120