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4211020240 = 245716346133
BaseRepresentation
bin1111101011111111…
…0001000111010000
3101212110202222210121
43322333301013100
532111010121430
61533504440024
7206232036640
oct37277610720
911773688717
104211020240
111871013919
12996319014
13521566a6b
142bd3a4520
15199a59a7a
hexfaff11d0

4211020240 has 80 divisors (see below), whose sum is σ = 11258172288. Its totient is φ = 1434889728.

The previous prime is 4211020211. The next prime is 4211020243. The reversal of 4211020240 is 420201124.

It is a tau number, because it is divible by the number of its divisors (80).

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 (4211020243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68214 + ... + 114346.

Almost surely, 24211020240 is an apocalyptic number.

4211020240 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 4211020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629086144).

4211020240 is an abundant number, since it is smaller than the sum of its proper divisors (7047152048).

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

4211020240 is a wasteful number, since it uses less digits than its factorization.

4211020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46316 (or 46310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4211020240 is about 64892.3742823454. The cubic root of 4211020240 is about 1614.8385541534.

Adding to 4211020240 its reverse (420201124), we get a palindrome (4631221364).

The spelling of 4211020240 in words is "four billion, two hundred eleven million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 163 280 326 560 652 815 1141 1304 1630 2282 2608 3260 4564 5705 6520 9128 11410 13040 18256 22820 45640 46133 91280 92266 184532 230665 322931 369064 461330 645862 738128 922660 1291724 1614655 1845320 2583448 3229310 3690640 5166896 6458620 7519679 12917240 15039358 25834480 30078716 37598395 52637753 60157432 75196790 105275506 120314864 150393580 210551012 263188765 300787160 421102024 526377530 601574320 842204048 1052755060 2105510120 4211020240