Search a number
-
+
870784668 = 22371321931
BaseRepresentation
bin110011111001110…
…001111010011100
32020200112110000000
4303321301322130
53240410102133
6222223534300
730402355545
oct6371617234
92220473000
10870784668
11407598456
1220375a390
1310b537900
14839134cc
15516aa413
hex33e71e9c

870784668 has 288 divisors, whose sum is σ = 2689075200. Its totient is φ = 245643840.

The previous prime is 870784657. The next prime is 870784721. The reversal of 870784668 is 866487078.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 28089813 + ... + 28089843.

Almost surely, 2870784668 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 870784668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344537600).

870784668 is an abundant number, since it is smaller than the sum of its proper divisors (1818290532).

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

870784668 is a wasteful number, since it uses less digits than its factorization.

870784668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 870784668 is about 29509.0607780051. The cubic root of 870784668 is about 954.9271868684.

The spelling of 870784668 in words is "eight hundred seventy million, seven hundred eighty-four thousand, six hundred sixty-eight".