Search a number
-
+
3540212124 = 2231719389917
BaseRepresentation
bin1101001100000011…
…0101100110011100
3100010201112102001120
43103000311212130
524222243241444
61343143010540
7153505210101
oct32300654634
910121472046
103540212124
1115573a2849
12829739a50
134455a8897
14258268aa8
1515ac01b19
hexd303599c

3540212124 has 48 divisors (see below), whose sum is σ = 8791822368. Its totient is φ = 1104887808.

The previous prime is 3540212113. The next prime is 3540212131. The reversal of 3540212124 is 4212120453.

It is a junction number, because it is equal to n+sod(n) for n = 3540212094 and 3540212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5587 + ... + 84330.

It is an arithmetic number, because the mean of its divisors is an integer number (183162966).

Almost surely, 23540212124 is an apocalyptic number.

3540212124 is a gapful number since it is divisible by the number (34) 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 3540212124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395911184).

3540212124 is an abundant number, since it is smaller than the sum of its proper divisors (5251610244).

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

3540212124 is a wasteful number, since it uses less digits than its factorization.

3540212124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90134 (or 90132 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3540212124 is about 59499.6817134344. The cubic root of 3540212124 is about 1524.0870104840.

Adding to 3540212124 its reverse (4212120453), we get a palindrome (7752332577).

The spelling of 3540212124 in words is "three billion, five hundred forty million, two hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 193 204 386 579 772 1158 2316 3281 6562 9843 13124 19686 39372 89917 179834 269751 359668 539502 1079004 1528589 3057178 4585767 6114356 9171534 17353981 18343068 34707962 52061943 69415924 104123886 208247772 295017677 590035354 885053031 1180070708 1770106062 3540212124