Search a number
-
+
1036013472 = 2532132353227
BaseRepresentation
bin111101110000000…
…100111110100000
32200012102221022100
4331300010332200
54110204412342
6250445210400
734446653304
oct7560047640
92605387270
101036013472
1149189128a
1224ab60a00
13136839330
149b843d04
1560e46e4c
hex3dc04fa0

1036013472 has 288 divisors, whose sum is σ = 3388065408. Its totient is φ = 297842688.

The previous prime is 1036013471. The next prime is 1036013479. The reversal of 1036013472 is 2743106301.

1036013472 is a `hidden beast` number, since 10 + 3 + 601 + 3 + 47 + 2 = 666.

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

It is a super-3 number, since 3×10360134723 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1036013471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4563823 + ... + 4564049.

It is an arithmetic number, because the mean of its divisors is an integer number (11764116).

Almost surely, 21036013472 is an apocalyptic number.

1036013472 is a gapful number since it is divisible by the number (12) 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 1036013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694032704).

1036013472 is an abundant number, since it is smaller than the sum of its proper divisors (2352051936).

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

1036013472 is a wasteful number, since it uses less digits than its factorization.

1036013472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1036013472 is about 32187.1631555190. The cubic root of 1036013472 is about 1011.8631986599.

Adding to 1036013472 its reverse (2743106301), we get a palindrome (3779119773).

It can be divided in two parts, 10360 and 13472, that added together give a palindrome (23832).

The spelling of 1036013472 in words is "one billion, thirty-six million, thirteen thousand, four hundred seventy-two".