Search a number
-
+
5403609120 = 25357131719383
BaseRepresentation
bin1010000100001010…
…01000100000100000
3111221120211210012010
411002011020200200
542031310442440
62252110032520
7250622630310
oct50205104040
914846753163
105403609120
112323218568
1210697a8740
13681664b60
14393925440
152195ce580
hex142148820

5403609120 has 768 divisors, whose sum is σ = 23410114560. Its totient is φ = 1013907456.

The previous prime is 5403609097. The next prime is 5403609131. The reversal of 5403609120 is 219063045.

It is a super-3 number, since 3×54036091203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14108449 + ... + 14108831.

It is an arithmetic number, because the mean of its divisors is an integer number (30481920).

Almost surely, 25403609120 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 5403609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705057280).

5403609120 is an abundant number, since it is smaller than the sum of its proper divisors (18006505440).

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

5403609120 is a wasteful number, since it uses less digits than its factorization.

5403609120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5403609120 is about 73509.2451328403. The cubic root of 5403609120 is about 1754.8014125829.

The spelling of 5403609120 in words is "five billion, four hundred three million, six hundred nine thousand, one hundred twenty".