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3500438140 = 225415972353
BaseRepresentation
bin1101000010100100…
…0111001001111100
3100000221200200102001
43100221013021330
524132103010030
61335202312044
7152513143003
oct32051071174
910027620361
103500438140
1115369a6a91
12818358624
1343a290b94
14252c73c3a
15157496cca
hexd0a4727c

3500438140 has 48 divisors (see below), whose sum is σ = 7657947360. Its totient is φ = 1342853120.

The previous prime is 3500438131. The next prime is 3500438147. The reversal of 3500438140 is 418340053.

It is a junction number, because it is equal to n+sod(n) for n = 3500438099 and 3500438108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3500438147) 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, 12204 + ... + 84556.

It is an arithmetic number, because the mean of its divisors is an integer number (159540570).

Almost surely, 23500438140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3500438140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828973680).

3500438140 is an abundant number, since it is smaller than the sum of its proper divisors (4157509220).

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

3500438140 is a wasteful number, since it uses less digits than its factorization.

3500438140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72462 (or 72460 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3500438140 is about 59164.5006739683. The cubic root of 3500438140 is about 1518.3578381083.

Adding to 3500438140 its reverse (418340053), we get a palindrome (3918778193).

The spelling of 3500438140 in words is "three billion, five hundred million, four hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 59 82 118 164 205 236 295 410 590 820 1180 2419 4838 9676 12095 24190 48380 72353 144706 289412 361765 723530 1447060 2966473 4268827 5932946 8537654 11865892 14832365 17075308 21344135 29664730 42688270 59329460 85376540 175021907 350043814 700087628 875109535 1750219070 3500438140