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8021014000 = 24534010507
BaseRepresentation
bin1110111100001011…
…01111010111110000
3202200222221201200121
413132011233113300
5112411334422000
63403530100024
7402524331316
oct73605572760
922628851617
108021014000
11344672059a
12167a27a614
139aa9bcc3c
145613b80b6
1531e29bb1a
hex1de16f5f0

8021014000 has 40 divisors (see below), whose sum is σ = 19394816688. Its totient is φ = 3208404800.

The previous prime is 8021013853. The next prime is 8021014003. The reversal of 8021014000 is 4101208.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8021014003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2003254 + ... + 2007253.

Almost surely, 28021014000 is an apocalyptic number.

8021014000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8021014000 is an abundant number, since it is smaller than the sum of its proper divisors (11373802688).

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

8021014000 is a wasteful number, since it uses less digits than its factorization.

8021014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010530 (or 4010514 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8021014000 is about 89560.1138900571. The cubic root of 8021014000 is about 2001.7496356080.

Adding to 8021014000 its reverse (4101208), we get a palindrome (8025115208).

The spelling of 8021014000 in words is "eight billion, twenty-one million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 4010507 8021014 16042028 20052535 32084056 40105070 64168112 80210140 100262675 160420280 200525350 320840560 401050700 501313375 802101400 1002626750 1604202800 2005253500 4010507000 8021014000