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2121404320 = 25576131051
BaseRepresentation
bin111111001110010…
…0000111110100000
312110211210111122101
41332130200332200
513321034414240
6550301020144
7103366432150
oct17634407640
95424714571
102121404320
11999528512
124b2554654
1327a673539
14161a5c760
15c639439a
hex7e720fa0

2121404320 has 96 divisors (see below), whose sum is σ = 5821877376. Its totient is φ = 715392000.

The previous prime is 2121404297. The next prime is 2121404323. The reversal of 2121404320 is 234041212.

It is not an unprimeable number, because it can be changed into a prime (2121404323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52795 + ... + 83845.

It is an arithmetic number, because the mean of its divisors is an integer number (60644556).

Almost surely, 22121404320 is an apocalyptic number.

2121404320 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 2121404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910938688).

2121404320 is an abundant number, since it is smaller than the sum of its proper divisors (3700473056).

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

2121404320 is a wasteful number, since it uses less digits than its factorization.

2121404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31134 (or 31126 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2121404320 is about 46058.7051489727. The cubic root of 2121404320 is about 1284.9152482371.

Adding to 2121404320 its reverse (234041212), we get a palindrome (2355445532).

The spelling of 2121404320 in words is "two billion, one hundred twenty-one million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 70 80 112 122 140 160 224 244 280 305 427 488 560 610 854 976 1120 1220 1708 1952 2135 2440 3416 4270 4880 6832 8540 9760 13664 17080 31051 34160 62102 68320 124204 155255 217357 248408 310510 434714 496816 621020 869428 993632 1086785 1242040 1738856 1894111 2173570 2484080 3477712 3788222 4347140 4968160 6955424 7576444 8694280 9470555 13258777 15152888 17388560 18941110 26517554 30305776 34777120 37882220 53035108 60611552 66293885 75764440 106070216 132587770 151528880 212140432 265175540 303057760 424280864 530351080 1060702160 2121404320