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870840100 = 22521322272
BaseRepresentation
bin110011111001111…
…111011100100100
32020200122021001001
4303321333130210
53240413340400
6222225043044
730403006264
oct6371773444
92220567031
10870840100
11407626069
12203786484
1310b556c00
14839297a4
15516bba6a
hex33e7f724

870840100 has 81 divisors (see below), whose sum is σ = 2055322227. Its totient is φ = 320124480.

The previous prime is 870840083. The next prime is 870840121. The reversal of 870840100 is 1048078.

Adding to 870840100 its reverse (1048078), we get a palindrome (871888178).

The square root of 870840100 is 29510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 224460324 + 646379776 = 14982^2 + 25424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3836187 + ... + 3836413.

Almost surely, 2870840100 is an apocalyptic number.

870840100 is the 29510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870840100

870840100 is an abundant number, since it is smaller than the sum of its proper divisors (1184482127).

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

870840100 is a wasteful number, since it uses less digits than its factorization.

870840100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The cubic root of 870840100 is about 954.9474492067.

The spelling of 870840100 in words is "eight hundred seventy million, eight hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 227 260 325 338 454 650 676 845 908 1135 1300 1690 2270 2951 3380 4225 4540 5675 5902 8450 11350 11804 14755 16900 22700 29510 38363 51529 59020 73775 76726 103058 147550 153452 191815 206116 257645 295100 383630 515290 669877 767260 959075 1030580 1288225 1339754 1918150 2576450 2679508 3349385 3836300 5152900 6698770 8708401 13397540 16746925 17416802 33493850 34833604 43542005 66987700 87084010 174168020 217710025 435420050 870840100