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2121055400 = 235223617559
BaseRepresentation
bin111111001101100…
…1011110010101000
312110211010210000102
41332123023302220
513320442233100
6550245324532
7103363446662
oct17633136250
95424123012
102121055400
1199930a352
124b2406748
1327a580789
141619ab532
15c6325cd5
hex7e6cbca8

2121055400 has 96 divisors (see below), whose sum is σ = 5230915200. Its totient is φ = 798124800.

The previous prime is 2121055393. The next prime is 2121055403. The reversal of 2121055400 is 45501212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2121055403) 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, 276821 + ... + 284379.

It is an arithmetic number, because the mean of its divisors is an integer number (54488700).

Almost surely, 22121055400 is an apocalyptic number.

2121055400 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 2121055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615457600).

2121055400 is an abundant number, since it is smaller than the sum of its proper divisors (3109859800).

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

2121055400 is a wasteful number, since it uses less digits than its factorization.

2121055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7659 (or 7650 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2121055400 is about 46054.9172184686. The cubic root of 2121055400 is about 1284.8447984873.

Adding to 2121055400 its reverse (45501212), we get a palindrome (2166556612).

The spelling of 2121055400 in words is "two billion, one hundred twenty-one million, fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 61 92 100 115 122 184 200 230 244 305 460 488 575 610 920 1150 1220 1403 1525 2300 2440 2806 3050 4600 5612 6100 7015 7559 11224 12200 14030 15118 28060 30236 35075 37795 56120 60472 70150 75590 140300 151180 173857 188975 280600 302360 347714 377950 461099 695428 755900 869285 922198 1390856 1511800 1738570 1844396 2305495 3477140 3688792 4346425 4610990 6954280 8692850 9221980 10605277 11527475 17385700 18443960 21210554 23054950 34771400 42421108 46109900 53026385 84842216 92219800 106052770 212105540 265131925 424211080 530263850 1060527700 2121055400