Search a number
-
+
21367207040 = 27540981629
BaseRepresentation
bin10011111001100101…
…011011010010000000
32001011010011120201112
4103321211123102000
5322230001111130
613452125222452
71354333156154
oct237145332200
961133146645
1021367207040
11907525a9a3
124183a01a28
132026a1409a
141069add064
15850cd4495
hex4f995b480

21367207040 has 64 divisors (see below), whose sum is σ = 51206499000. Its totient is φ = 8525881344.

The previous prime is 21367207003. The next prime is 21367207051. The reversal of 21367207040 is 4070276312.

It can be written as a sum of positive squares in 4 ways, for example, as 21248309824 + 118897216 = 145768^2 + 10904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 21367206988 and 21367207006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220946 + ... + 302574.

Almost surely, 221367207040 is an apocalyptic number.

21367207040 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 21367207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603249500).

21367207040 is an abundant number, since it is smaller than the sum of its proper divisors (29839291960).

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

21367207040 is an equidigital number, since it uses as much as digits as its factorization.

21367207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82057 (or 82045 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 21367207040 in words is "twenty-one billion, three hundred sixty-seven million, two hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 409 640 818 1636 2045 3272 4090 6544 8180 13088 16360 26176 32720 52352 65440 81629 130880 163258 261760 326516 408145 653032 816290 1306064 1632580 2612128 3265160 5224256 6530320 10448512 13060640 26121280 33386261 52242560 66772522 133545044 166931305 267090088 333862610 534180176 667725220 1068360352 1335450440 2136720704 2670900880 4273441408 5341801760 10683603520 21367207040