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4023139680 = 2532572571553
BaseRepresentation
bin1110111111001100…
…0011110101100000
3101101101020200010100
43233303003311200
531214410432210
61503113502400
7201461060130
oct35763036540
911341220110
104023139680
111784a5942a
12943411a00
134c1663c31
142a2458ac0
151882e65c0
hexefcc3d60

4023139680 has 288 divisors, whose sum is σ = 15761438784. Its totient is φ = 915406848.

The previous prime is 4023139651. The next prime is 4023139697. The reversal of 4023139680 is 869313204.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 2589784 + ... + 2591336.

It is an arithmetic number, because the mean of its divisors is an integer number (54727218).

Almost surely, 24023139680 is an apocalyptic number.

4023139680 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 4023139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880719392).

4023139680 is an abundant number, since it is smaller than the sum of its proper divisors (11738299104).

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

4023139680 is a wasteful number, since it uses less digits than its factorization.

4023139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4023139680 is about 63428.2246322566. The cubic root of 4023139680 is about 1590.4561643573.

The spelling of 4023139680 in words is "four billion, twenty-three million, one hundred thirty-nine thousand, six hundred eighty".