Search a number
-
+
5980405120 = 27514836301
BaseRepresentation
bin1011001000111010…
…11011110110000000
3120102210012001112221
411210131123312000
544221440430440
62425232500424
7301125414304
oct54435336600
916383161487
105980405120
112599867978
1211aa9aa714
13743cc7b71
1440a38bd04
15250066d4a
hex16475bd80

5980405120 has 64 divisors (see below), whose sum is σ = 14308817040. Its totient is φ = 2390169600.

The previous prime is 5980405087. The next prime is 5980405133. The reversal of 5980405120 is 215040895.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 945970 + ... + 952270.

Almost surely, 25980405120 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 5980405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154408520).

5980405120 is an abundant number, since it is smaller than the sum of its proper divisors (8328411920).

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

5980405120 is a wasteful number, since it uses less digits than its factorization.

5980405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7803 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 5980405120 is about 77333.0790800418. The cubic root of 5980405120 is about 1815.1403099669.

The spelling of 5980405120 in words is "five billion, nine hundred eighty million, four hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1483 2966 5932 6301 7415 11864 12602 14830 23728 25204 29660 31505 47456 50408 59320 63010 94912 100816 118640 126020 189824 201632 237280 252040 403264 474560 504080 806528 949120 1008160 2016320 4032640 9344383 18688766 37377532 46721915 74755064 93443830 149510128 186887660 299020256 373775320 598040512 747550640 1196081024 1495101280 2990202560 5980405120