Search a number
-
+
870204720 = 24357311312
BaseRepresentation
bin110011110111100…
…100010100110000
32020122102222110110
4303313210110300
53240233022340
6222203301320
730364422000
oct6367442460
92218388413
10870204720
11407231760
1220351a840
1310b393948
1483802000
15515e3680
hex33de4530

870204720 has 480 divisors, whose sum is σ = 3546201600. Its totient is φ = 174988800.

The previous prime is 870204697. The next prime is 870204733. The reversal of 870204720 is 27402078.

870204720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 28071105 + ... + 28071135.

It is an arithmetic number, because the mean of its divisors is an integer number (7387920).

Almost surely, 2870204720 is an apocalyptic number.

870204720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870204720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773100800).

870204720 is an abundant number, since it is smaller than the sum of its proper divisors (2675996880).

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

870204720 is a wasteful number, since it uses less digits than its factorization.

870204720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 870204720 is about 29499.2325323897. The cubic root of 870204720 is about 954.7151439740.

Adding to 870204720 its reverse (27402078), we get a palindrome (897606798).

The spelling of 870204720 in words is "eight hundred seventy million, two hundred four thousand, seven hundred twenty".