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4020569280 = 2632571323229
BaseRepresentation
bin1110111110100101…
…0000010011000000
3101101012102002012100
43233221100103000
531213231204110
61502542430400
7201430163220
oct35751202300
911335362170
104020569280
111783563232
12942592400
134c0c73ca0
142a1d8a080
15187e89bc0
hexefa504c0

4020569280 has 1008 divisors, whose sum is σ = 18406140480. Its totient is φ = 783433728.

The previous prime is 4020569263. The next prime is 4020569323. The reversal of 4020569280 is 829650204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 138640306 + ... + 138640334.

It is an arithmetic number, because the mean of its divisors is an integer number (18260060).

Almost surely, 24020569280 is an apocalyptic number.

4020569280 is a gapful number since it is divisible by the number (40) 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 4020569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9203070240).

4020569280 is an abundant number, since it is smaller than the sum of its proper divisors (14385571200).

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

4020569280 is a wasteful number, since it uses less digits than its factorization.

4020569280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4020569280 is about 63407.9591218642. The cubic root of 4020569280 is about 1590.1173759321.

The spelling of 4020569280 in words is "four billion, twenty million, five hundred sixty-nine thousand, two hundred eighty".