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2069067024 = 243330715601
BaseRepresentation
bin111101101010011…
…0111010100010000
312100012022111101000
41323110313110100
513214140121044
6541151142000
7102162531243
oct17324672420
95305274330
102069067024
11971a30752
12498b14900
1326c87a31b
14158b1725a
15c19a6d69
hex7b537510

2069067024 has 80 divisors (see below), whose sum is σ = 5958715840. Its totient is φ = 687398400.

The previous prime is 2069067017. The next prime is 2069067029. The reversal of 2069067024 is 4207609602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2069067024.

It is not an unprimeable number, because it can be changed into a prime (2069067029) 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, 124824 + ... + 140424.

It is an arithmetic number, because the mean of its divisors is an integer number (74483948).

Almost surely, 22069067024 is an apocalyptic number.

2069067024 is a gapful number since it is divisible by the number (24) 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 2069067024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979357920).

2069067024 is an abundant number, since it is smaller than the sum of its proper divisors (3889648816).

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

2069067024 is a wasteful number, since it uses less digits than its factorization.

2069067024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15925 (or 15913 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2069067024 is about 45486.9984061380. The cubic root of 2069067024 is about 1274.2603987371.

The spelling of 2069067024 in words is "two billion, sixty-nine million, sixty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 307 432 614 921 1228 1842 2456 2763 3684 4912 5526 7368 8289 11052 14736 15601 16578 22104 31202 33156 44208 46803 62404 66312 93606 124808 132624 140409 187212 249616 280818 374424 421227 561636 748848 842454 1123272 1684908 2246544 3369816 4789507 6739632 9579014 14368521 19158028 28737042 38316056 43105563 57474084 76632112 86211126 114948168 129316689 172422252 229896336 258633378 344844504 517266756 689689008 1034533512 2069067024