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870013984 = 25722317417
BaseRepresentation
bin110011110110110…
…101110000100000
32020122002021211011
4303312311300200
53240210421414
6222155230304
730362665630
oct6366656040
92218067734
10870013984
11407111424
12203448394
1310b327b98
14837926c0
15515a6dc4
hex33db5c20

870013984 has 48 divisors (see below), whose sum is σ = 1966422528. Its totient is φ = 371169792.

The previous prime is 870013943. The next prime is 870013993. The reversal of 870013984 is 489310078.

870013984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41244 + ... + 58660.

It is an arithmetic number, because the mean of its divisors is an integer number (40967136).

Almost surely, 2870013984 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 870013984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983211264).

870013984 is an abundant number, since it is smaller than the sum of its proper divisors (1096408544).

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

870013984 is a wasteful number, since it uses less digits than its factorization.

870013984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17657 (or 17649 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 870013984 is about 29495.9994575536. Note that the first 3 decimals coincide. The cubic root of 870013984 is about 954.6453857322.

The spelling of 870013984 in words is "eight hundred seventy million, thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 223 224 446 892 1561 1784 3122 3568 6244 7136 12488 17417 24976 34834 49952 69668 121919 139336 243838 278672 487676 557344 975352 1950704 3883991 3901408 7767982 15535964 27187937 31071928 54375874 62143856 108751748 124287712 217503496 435006992 870013984