Search a number
-
+
880131420 = 22355741631
BaseRepresentation
bin110100011101011…
…011110101011100
32021100010022100000
4310131123311130
53300303201140
6223200134300
730544664550
oct6435336534
92240108300
10880131420
114118a1843
12206907390
1311045b02c
1484c67860
1552404a30
hex3475bd5c

880131420 has 288 divisors, whose sum is σ = 3246437376. Its totient is φ = 195955200.

The previous prime is 880131331. The next prime is 880131431. The reversal of 880131420 is 24131088.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1394505 + ... + 1395135.

It is an arithmetic number, because the mean of its divisors is an integer number (11272352).

Almost surely, 2880131420 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 880131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623218688).

880131420 is an abundant number, since it is smaller than the sum of its proper divisors (2366305956).

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

880131420 is a wasteful number, since it uses less digits than its factorization.

880131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 880131420 is about 29667.0089493363. The cubic root of 880131420 is about 958.3316727045.

The spelling of 880131420 in words is "eight hundred eighty million, one hundred thirty-one thousand, four hundred twenty".