Search a number
-
+
31997064 = 23311196379
BaseRepresentation
bin111101000001…
…1110010001000
32020012121201110
41322003302020
531142401224
63101450320
7535653621
oct172036210
966177643
1031997064
1117074960
12a8709a0
136823c98
14436ca48
152c20929
hex1e83c88

31997064 has 64 divisors (see below), whose sum is σ = 91872000. Its totient is φ = 9184320.

The previous prime is 31997047. The next prime is 31997089. The reversal of 31997064 is 46079913.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1827 + ... + 8205.

It is an arithmetic number, because the mean of its divisors is an integer number (1435500).

Almost surely, 231997064 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 31997064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45936000).

31997064 is an abundant number, since it is smaller than the sum of its proper divisors (59874936).

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

31997064 is a wasteful number, since it uses less digits than its factorization.

31997064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 31997064 is about 5656.5947353509. The cubic root of 31997064 is about 317.4705004936.

The spelling of 31997064 in words is "thirty-one million, nine hundred ninety-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 6379 12758 19137 25516 38274 51032 70169 76548 121201 140338 153096 210507 242402 280676 363603 421014 484804 561352 727206 842028 969608 1333211 1454412 1684056 2666422 2908824 3999633 5332844 7999266 10665688 15998532 31997064