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2153405000 = 2354599719
BaseRepresentation
bin1000000001011010…
…0101101001001000
312120002000022022202
42000112211221020
513402232430000
6553402535332
7104235432455
oct20026455110
95502008282
102153405000
11a055a505a
12501207548
13284199056
14165dcc82c
15c90b5dd5
hex805a5a48

2153405000 has 80 divisors (see below), whose sum is σ = 5060880000. Its totient is φ = 858728000.

The previous prime is 2153404997. The next prime is 2153405017. The reversal of 2153405000 is 5043512.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2994641 + ... + 2995359.

It is an arithmetic number, because the mean of its divisors is an integer number (63261000).

Almost surely, 22153405000 is an apocalyptic number.

2153405000 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 2153405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530440000).

2153405000 is an abundant number, since it is smaller than the sum of its proper divisors (2907475000).

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

2153405000 is an equidigital number, since it uses as much as digits as its factorization.

2153405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2153405000 is about 46404.7950108607. The cubic root of 2153405000 is about 1291.3438712401.

Adding to 2153405000 its reverse (5043512), we get a palindrome (2158448512).

The spelling of 2153405000 in words is "two billion, one hundred fifty-three million, four hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 599 625 719 1000 1198 1250 1438 2396 2500 2876 2995 3595 4792 5000 5752 5990 7190 11980 14380 14975 17975 23960 28760 29950 35950 59900 71900 74875 89875 119800 143800 149750 179750 299500 359500 374375 430681 449375 599000 719000 748750 861362 898750 1497500 1722724 1797500 2153405 2995000 3445448 3595000 4306810 8613620 10767025 17227240 21534050 43068100 53835125 86136200 107670250 215340500 269175625 430681000 538351250 1076702500 2153405000