Search a number
-
+
3187211104 = 2571111311447
BaseRepresentation
bin1011110111111000…
…1111101101100000
322020010022002200201
42331332033231200
523011411223404
61244132554544
7141660563440
oct27576175540
98203262621
103187211104
111396108970
1274b482a54
133ba41173c
1422341a120
15139c23ca4
hexbdf8fb60

3187211104 has 96 divisors (see below), whose sum is σ = 7893075456. Its totient is φ = 1230673920.

The previous prime is 3187211063. The next prime is 3187211149. The reversal of 3187211104 is 4011127813.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 272709 + ... + 284155.

It is an arithmetic number, because the mean of its divisors is an integer number (82219536).

Almost surely, 23187211104 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 3187211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946537728).

3187211104 is an abundant number, since it is smaller than the sum of its proper divisors (4705864352).

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

3187211104 is a wasteful number, since it uses less digits than its factorization.

3187211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11588 (or 11580 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 3187211104 is about 56455.3903892268. The cubic root of 3187211104 is about 1471.6468661010.

Adding to 3187211104 its reverse (4011127813), we get a palindrome (7198338917).

The spelling of 3187211104 in words is "three billion, one hundred eighty-seven million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 113 154 176 224 226 308 352 452 616 791 904 1232 1243 1582 1808 2464 2486 3164 3616 4972 6328 8701 9944 11447 12656 17402 19888 22894 25312 34804 39776 45788 69608 80129 91576 125917 139216 160258 183152 251834 278432 320516 366304 503668 641032 881419 1007336 1282064 1293511 1762838 2014672 2564128 2587022 3525676 4029344 5174044 7051352 9054577 10348088 14102704 14228621 18109154 20696176 28205408 28457242 36218308 41392352 56914484 72436616 99600347 113828968 144873232 199200694 227657936 289746464 398401388 455315872 796802776 1593605552 3187211104