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880152 = 233713231
BaseRepresentation
bin11010110111000011000
31122201100020
43112320120
5211131102
630510440
710324020
oct3267030
91581306
10880152
115512a9
12365420
1324a800
1418ca80
15125bbc
hexd6e18

880152 has 96 divisors (see below), whose sum is σ = 2810880. Its totient is φ = 224640.

The previous prime is 880151. The next prime is 880153. The reversal of 880152 is 251088.

880152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (880151) and next prime (880153).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28377 + ... + 28407.

It is an arithmetic number, because the mean of its divisors is an integer number (29280).

2880152 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 880152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405440).

880152 is an abundant number, since it is smaller than the sum of its proper divisors (1930728).

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

880152 is a wasteful number, since it uses less digits than its factorization.

880152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 880152 is about 938.1641647388. The cubic root of 880152 is about 95.8339142162.

The spelling of 880152 in words is "eight hundred eighty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 169 182 186 217 248 273 312 338 364 372 403 434 507 546 651 676 728 744 806 868 1014 1092 1183 1209 1302 1352 1612 1736 2028 2184 2366 2418 2604 2821 3224 3549 4056 4732 4836 5208 5239 5642 7098 8463 9464 9672 10478 11284 14196 15717 16926 20956 22568 28392 31434 33852 36673 41912 62868 67704 73346 110019 125736 146692 220038 293384 440076 880152