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870010064 = 247115471291
BaseRepresentation
bin110011110110110…
…100110011010000
32020122002002102222
4303312310303100
53240210310224
6222155200212
730362651330
oct6366646320
92218062388
10870010064
11407109490
12203446068
1310b326171
14837910c0
15515a5b5e
hex33db4cd0

870010064 has 80 divisors (see below), whose sum is σ = 2107055616. Its totient is φ = 338083200.

The previous prime is 870010051. The next prime is 870010069. The reversal of 870010064 is 460010078.

It is a super-2 number, since 2×8700100642 = 1513835022922568192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870010069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673259 + ... + 674549.

Almost surely, 2870010064 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 870010064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053527808).

870010064 is an abundant number, since it is smaller than the sum of its proper divisors (1237045552).

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

870010064 is a wasteful number, since it uses less digits than its factorization.

870010064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 870010064 is about 29495.9330077894. The cubic root of 870010064 is about 954.6439519562.

The spelling of 870010064 in words is "eight hundred seventy million, ten thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 547 616 1094 1232 1291 2188 2582 3829 4376 5164 6017 7658 8752 9037 10328 12034 14201 15316 18074 20656 24068 28402 30632 36148 42119 48136 56804 61264 72296 84238 96272 99407 113608 144592 168476 198814 227216 336952 397628 673904 706177 795256 1412354 1590512 2824708 4943239 5649416 7767947 9886478 11298832 15535894 19772956 31071788 39545912 54375629 62143576 79091824 108751258 124287152 217502516 435005032 870010064