Search a number
-
+
5980617720 = 2333571171917
BaseRepresentation
bin1011001000111100…
…01111101111111000
3120102210120212012000
411210132033233320
544222014231340
62425241221000
7301130261160
oct54436175770
916383525160
105980617720
1125999a2680
1211aaa91760
1374407086c
1440a4055a0
152500a9d30
hex16478fbf8

5980617720 has 256 divisors, whose sum is σ = 24854860800. Its totient is φ = 1242708480.

The previous prime is 5980617689. The next prime is 5980617733. The reversal of 5980617720 is 277160895.

5980617720 is a `hidden beast` number, since 5 + 9 + 8 + 0 + 617 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47202 + ... + 119118.

It is an arithmetic number, because the mean of its divisors is an integer number (97089300).

Almost surely, 25980617720 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 5980617720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12427430400).

5980617720 is an abundant number, since it is smaller than the sum of its proper divisors (18874243080).

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

5980617720 is a wasteful number, since it uses less digits than its factorization.

5980617720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71955 (or 71945 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 5980617720 is about 77334.4536413105. The cubic root of 5980617720 is about 1815.1618187805.

The spelling of 5980617720 in words is "five billion, nine hundred eighty million, six hundred seventeen thousand, seven hundred twenty".