Search a number
-
+
2129754880 = 28511213751
BaseRepresentation
bin111111011110001…
…0111101100000000
312111102111202110101
41332330113230000
513330204124010
6551200012144
7103530421621
oct17674275400
95442452411
102129754880
119a3211400
124b5301054
1327c3083b6
14162bd3a48
15c6e9373a
hex7ef17b00

2129754880 has 108 divisors (see below), whose sum is σ = 5607763056. Its totient is φ = 774400000.

The previous prime is 2129754877. The next prime is 2129754889. The reversal of 2129754880 is 884579212.

It is a self number, because there is not a number n which added to its sum of digits gives 2129754880.

It is not an unprimeable number, because it can be changed into a prime (2129754889) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 148005 + ... + 161755.

It is an arithmetic number, because the mean of its divisors is an integer number (51923732).

Almost surely, 22129754880 is an apocalyptic number.

2129754880 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 2129754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803881528).

2129754880 is an abundant number, since it is smaller than the sum of its proper divisors (3478008176).

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

2129754880 is a wasteful number, since it uses less digits than its factorization.

2129754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794 (or 13769 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The square root of 2129754880 is about 46149.2673831340. The cubic root of 2129754880 is about 1286.5989935801.

The spelling of 2129754880 in words is "two billion, one hundred twenty-nine million, seven hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 605 640 704 880 968 1210 1280 1408 1760 1936 2420 2816 3520 3872 4840 7040 7744 9680 13751 14080 15488 19360 27502 30976 38720 55004 68755 77440 110008 137510 151261 154880 220016 275020 302522 440032 550040 605044 756305 880064 1100080 1210088 1512610 1663871 1760128 2200160 2420176 3025220 3327742 3520256 4400320 4840352 6050440 6655484 8319355 8800640 9680704 12100880 13310968 16638710 17601280 19361408 24201760 26621936 33277420 38722816 48403520 53243872 66554840 96807040 106487744 133109680 193614080 212975488 266219360 425950976 532438720 1064877440 2129754880